-7(t-8)-2(2t+1)=-12

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Solution for -7(t-8)-2(2t+1)=-12 equation: 


Simplifying
-7(t + -8) + -2(2t + 1) = -12

Reorder the terms:
-7(-8 + t) + -2(2t + 1) = -12
(-8 * -7 + t * -7) + -2(2t + 1) = -12
(56 + -7t) + -2(2t + 1) = -12

Reorder the terms:
56 + -7t + -2(1 + 2t) = -12
56 + -7t + (1 * -2 + 2t * -2) = -12
56 + -7t + (-2 + -4t) = -12

Reorder the terms:
56 + -2 + -7t + -4t = -12

Combine like terms: 56 + -2 = 54
54 + -7t + -4t = -12

Combine like terms: -7t + -4t = -11t
54 + -11t = -12

Solving
54 + -11t = -12

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-54' to each side of the equation.
54 + -54 + -11t = -12 + -54

Combine like terms: 54 + -54 = 0
0 + -11t = -12 + -54
-11t = -12 + -54

Combine like terms: -12 + -54 = -66
-11t = -66

Divide each side by '-11'.
t = 6

Simplifying
t = 6

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