Question

solve for t.
49t - 90t + 37t + 91t - 65t = 88
t =
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Explanation:

Step1: Combine like terms

$$49t - 90t+37t + 91t-65t=(49 - 90 + 37+91 - 65)t$$
$$49 - 90=-41$$, $$-41 + 37=-4$$, $$-4+91 = 87$$, $$87-65 = 22$$, so the left - hand side is \(22t\). The equation becomes \(22t=88\).

Step2: Solve for \(t\)

Divide both sides of the equation \(22t = 88\) by \(22\), we get \(t=\frac{88}{22}\).

Answer:

\(t = 4\)