-3(t-6)-2(2t+1)=-12

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Solution for -3(t-6)-2(2t+1)=-12 equation: 


Simplifying
-3(t + -6) + -2(2t + 1) = -12

Reorder the terms:
-3(-6 + t) + -2(2t + 1) = -12
(-6 * -3 + t * -3) + -2(2t + 1) = -12
(18 + -3t) + -2(2t + 1) = -12

Reorder the terms:
18 + -3t + -2(1 + 2t) = -12
18 + -3t + (1 * -2 + 2t * -2) = -12
18 + -3t + (-2 + -4t) = -12

Reorder the terms:
18 + -2 + -3t + -4t = -12

Combine like terms: 18 + -2 = 16
16 + -3t + -4t = -12

Combine like terms: -3t + -4t = -7t
16 + -7t = -12

Solving
16 + -7t = -12

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + -7t = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -7t = -12 + -16
-7t = -12 + -16

Combine like terms: -12 + -16 = -28
-7t = -28

Divide each side by '-7'.
t = 4

Simplifying
t = 4

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