-5(t-3)+7t=5t-6

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Solution for -5(t-3)+7t=5t-6 equation:


Simplifying
-5(t + -3) + 7t = 5t + -6

Reorder the terms:
-5(-3 + t) + 7t = 5t + -6
(-3 * -5 + t * -5) + 7t = 5t + -6
(15 + -5t) + 7t = 5t + -6

Combine like terms: -5t + 7t = 2t
15 + 2t = 5t + -6

Reorder the terms:
15 + 2t = -6 + 5t

Solving
15 + 2t = -6 + 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.
15 + 2t + -5t = -6 + 5t + -5t

Combine like terms: 2t + -5t = -3t
15 + -3t = -6 + 5t + -5t

Combine like terms: 5t + -5t = 0
15 + -3t = -6 + 0
15 + -3t = -6

Add '-15' to each side of the equation.
15 + -15 + -3t = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -3t = -6 + -15
-3t = -6 + -15

Combine like terms: -6 + -15 = -21
-3t = -21

Divide each side by '-3'.
t = 7

Simplifying
t = 7

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