Solve the equation. 5( t - 1)+ 2( t - 1)= -2( t - 2)+ 10( t + 2)

Question

Quizplus · Accepted Answer

Starting with the left side of the equation, we can distribute the coefficients of t:

5(t-1) + 2(t-1)

= 5t - 5 + 2t - 2

= 7t - 7

Now let's do the same for the right side:

-2(t-2) + 10(t+2)

= -2t + 4 + 10t + 20

= 8t + 24

Now the equation becomes:

7t - 7 = 8t + 24

Subtracting 7t from both sides:

-t - 7 = 24

Adding 7 to both sides:

-t = 31

Multiplying by -1:

t = -31

Therefore, the answer is C.

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