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solve for t. 89t - t + 18t - 51t - 56t = -81 t =

Question

solve for t.
89t - t + 18t - 51t - 56t = -81
t =

Explanation:

Step1: Combine like terms on left

$89t - t + 18t - 51t - 56t = (89 - 1 + 18 - 51 - 56)t$
Calculate coefficients: $89 - 1 = 88$; $88 + 18 = 106$; $106 - 51 = 55$; $55 - 56 = -1$. So left side is $-t$.

Step2: Solve for t

Equation becomes $-t = -81$. Multiply both sides by -1: $t = 81$.

Answer:

81