-4(t-2)-3(3t+1)=-8

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Solution for -4(t-2)-3(3t+1)=-8 equation: 


Simplifying
-4(t + -2) + -3(3t + 1) = -8

Reorder the terms:
-4(-2 + t) + -3(3t + 1) = -8
(-2 * -4 + t * -4) + -3(3t + 1) = -8
(8 + -4t) + -3(3t + 1) = -8

Reorder the terms:
8 + -4t + -3(1 + 3t) = -8
8 + -4t + (1 * -3 + 3t * -3) = -8
8 + -4t + (-3 + -9t) = -8

Reorder the terms:
8 + -3 + -4t + -9t = -8

Combine like terms: 8 + -3 = 5
5 + -4t + -9t = -8

Combine like terms: -4t + -9t = -13t
5 + -13t = -8

Solving
5 + -13t = -8

Solving for variable 't'.

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

Add '-5' to each side of the equation.
5 + -5 + -13t = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -13t = -8 + -5
-13t = -8 + -5

Combine like terms: -8 + -5 = -13
-13t = -13

Divide each side by '-13'.
t = 1

Simplifying
t = 1

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