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I'm trying to solve the following equation:

[tex]

20+54e^{-0.0682t}= \frac{50160e^{-0.075t} - 780e^{-0.75t} + 18280}{914}

[/tex]

With the basic algebra I'm aware of, I can simplify the equation but I cannot get past the fact that there are three terms with e, meaning they are added up or subtracted from one another, and thus I cannot work them into one (excuse my messy choice of words, I'm not too familiar with the English mathematical terms). If anyone could tell me how to go about this, I'd much appreciate it.

EDIT: I'm messing up the latex, those -0.075t, -0.075t and -0.75t are supposed to be exponents. I'll try and fix it.

EDIT TWO: My apologies, I inserted the equation wrong. Edited.

EDIT THREE: For some reason, though I changed the LaTeX (clicking it shows so), it still displays the old equation. Is this just so for me or do the source and the image look different to everyone? (I'm hoping it's just my browser pulling the image from cache and refusing to load it anew)

[tex]

20+54e^{-0.0682t}= \frac{50160e^{-0.075t} - 780e^{-0.75t} + 18280}{914}

[/tex]

With the basic algebra I'm aware of, I can simplify the equation but I cannot get past the fact that there are three terms with e, meaning they are added up or subtracted from one another, and thus I cannot work them into one (excuse my messy choice of words, I'm not too familiar with the English mathematical terms). If anyone could tell me how to go about this, I'd much appreciate it.

EDIT: I'm messing up the latex, those -0.075t, -0.075t and -0.75t are supposed to be exponents. I'll try and fix it.

EDIT TWO: My apologies, I inserted the equation wrong. Edited.

EDIT THREE: For some reason, though I changed the LaTeX (clicking it shows so), it still displays the old equation. Is this just so for me or do the source and the image look different to everyone? (I'm hoping it's just my browser pulling the image from cache and refusing to load it anew)

Last edited: