-5*(3t-3)+2t=3t-8

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Solution for -5*(3t-3)+2t=3t-8 equation: 


Simplifying
-5(3t + -3) + 2t = 3t + -8

Reorder the terms:
-5(-3 + 3t) + 2t = 3t + -8
(-3 * -5 + 3t * -5) + 2t = 3t + -8
(15 + -15t) + 2t = 3t + -8

Combine like terms: -15t + 2t = -13t
15 + -13t = 3t + -8

Reorder the terms:
15 + -13t = -8 + 3t

Solving
15 + -13t = -8 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
15 + -13t + -3t = -8 + 3t + -3t

Combine like terms: -13t + -3t = -16t
15 + -16t = -8 + 3t + -3t

Combine like terms: 3t + -3t = 0
15 + -16t = -8 + 0
15 + -16t = -8

Add '-15' to each side of the equation.
15 + -15 + -16t = -8 + -15

Combine like terms: 15 + -15 = 0
0 + -16t = -8 + -15
-16t = -8 + -15

Combine like terms: -8 + -15 = -23
-16t = -23

Divide each side by '-16'.
t = 1.4375

Simplifying
t = 1.4375

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