-5(3t-4)+9t=5t-8

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Solution for -5(3t-4)+9t=5t-8 equation:


Simplifying
-5(3t + -4) + 9t = 5t + -8

Reorder the terms:
-5(-4 + 3t) + 9t = 5t + -8
(-4 * -5 + 3t * -5) + 9t = 5t + -8
(20 + -15t) + 9t = 5t + -8

Combine like terms: -15t + 9t = -6t
20 + -6t = 5t + -8

Reorder the terms:
20 + -6t = -8 + 5t

Solving
20 + -6t = -8 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
20 + -6t + -5t = -8 + 5t + -5t

Combine like terms: -6t + -5t = -11t
20 + -11t = -8 + 5t + -5t

Combine like terms: 5t + -5t = 0
20 + -11t = -8 + 0
20 + -11t = -8

Add '-20' to each side of the equation.
20 + -20 + -11t = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -11t = -8 + -20
-11t = -8 + -20

Combine like terms: -8 + -20 = -28
-11t = -28

Divide each side by '-11'.
t = 2.545454545

Simplifying
t = 2.545454545

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