-5(3t-3)+6t=2t-8

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Solution for -5(3t-3)+6t=2t-8 equation:


Simplifying
-5(3t + -3) + 6t = 2t + -8

Reorder the terms:
-5(-3 + 3t) + 6t = 2t + -8
(-3 * -5 + 3t * -5) + 6t = 2t + -8
(15 + -15t) + 6t = 2t + -8

Combine like terms: -15t + 6t = -9t
15 + -9t = 2t + -8

Reorder the terms:
15 + -9t = -8 + 2t

Solving
15 + -9t = -8 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
15 + -9t + -2t = -8 + 2t + -2t

Combine like terms: -9t + -2t = -11t
15 + -11t = -8 + 2t + -2t

Combine like terms: 2t + -2t = 0
15 + -11t = -8 + 0
15 + -11t = -8

Add '-15' to each side of the equation.
15 + -15 + -11t = -8 + -15

Combine like terms: 15 + -15 = 0
0 + -11t = -8 + -15
-11t = -8 + -15

Combine like terms: -8 + -15 = -23
-11t = -23

Divide each side by '-11'.
t = 2.090909091

Simplifying
t = 2.090909091

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