-5(t-3)+9t=7t-8

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Solution for -5(t-3)+9t=7t-8 equation:


Simplifying
-5(t + -3) + 9t = 7t + -8

Reorder the terms:
-5(-3 + t) + 9t = 7t + -8
(-3 * -5 + t * -5) + 9t = 7t + -8
(15 + -5t) + 9t = 7t + -8

Combine like terms: -5t + 9t = 4t
15 + 4t = 7t + -8

Reorder the terms:
15 + 4t = -8 + 7t

Solving
15 + 4t = -8 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
15 + 4t + -7t = -8 + 7t + -7t

Combine like terms: 4t + -7t = -3t
15 + -3t = -8 + 7t + -7t

Combine like terms: 7t + -7t = 0
15 + -3t = -8 + 0
15 + -3t = -8

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

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

Combine like terms: -8 + -15 = -23
-3t = -23

Divide each side by '-3'.
t = 7.666666667

Simplifying
t = 7.666666667

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