-3(t-4)-2(2t+1)=-11

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Solution for -3(t-4)-2(2t+1)=-11 equation: 


Simplifying
-3(t + -4) + -2(2t + 1) = -11

Reorder the terms:
-3(-4 + t) + -2(2t + 1) = -11
(-4 * -3 + t * -3) + -2(2t + 1) = -11
(12 + -3t) + -2(2t + 1) = -11

Reorder the terms:
12 + -3t + -2(1 + 2t) = -11
12 + -3t + (1 * -2 + 2t * -2) = -11
12 + -3t + (-2 + -4t) = -11

Reorder the terms:
12 + -2 + -3t + -4t = -11

Combine like terms: 12 + -2 = 10
10 + -3t + -4t = -11

Combine like terms: -3t + -4t = -7t
10 + -7t = -11

Solving
10 + -7t = -11

Solving for variable 't'.

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

Add '-10' to each side of the equation.
10 + -10 + -7t = -11 + -10

Combine like terms: 10 + -10 = 0
0 + -7t = -11 + -10
-7t = -11 + -10

Combine like terms: -11 + -10 = -21
-7t = -21

Divide each side by '-7'.
t = 3

Simplifying
t = 3

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