8-3(t-4)=2(2t-11)

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Solution for 8-3(t-4)=2(2t-11) equation: 


Simplifying
8 + -3(t + -4) = 2(2t + -11)

Reorder the terms:
8 + -3(-4 + t) = 2(2t + -11)
8 + (-4 * -3 + t * -3) = 2(2t + -11)
8 + (12 + -3t) = 2(2t + -11)

Combine like terms: 8 + 12 = 20
20 + -3t = 2(2t + -11)

Reorder the terms:
20 + -3t = 2(-11 + 2t)
20 + -3t = (-11 * 2 + 2t * 2)
20 + -3t = (-22 + 4t)

Solving
20 + -3t = -22 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
20 + -3t + -4t = -22 + 4t + -4t

Combine like terms: -3t + -4t = -7t
20 + -7t = -22 + 4t + -4t

Combine like terms: 4t + -4t = 0
20 + -7t = -22 + 0
20 + -7t = -22

Add '-20' to each side of the equation.
20 + -20 + -7t = -22 + -20

Combine like terms: 20 + -20 = 0
0 + -7t = -22 + -20
-7t = -22 + -20

Combine like terms: -22 + -20 = -42
-7t = -42

Divide each side by '-7'.
t = 6

Simplifying
t = 6

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