-5(t-1)+7t=8t-7

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Solution for -5(t-1)+7t=8t-7 equation:


Simplifying
-5(t + -1) + 7t = 8t + -7

Reorder the terms:
-5(-1 + t) + 7t = 8t + -7
(-1 * -5 + t * -5) + 7t = 8t + -7
(5 + -5t) + 7t = 8t + -7

Combine like terms: -5t + 7t = 2t
5 + 2t = 8t + -7

Reorder the terms:
5 + 2t = -7 + 8t

Solving
5 + 2t = -7 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
5 + 2t + -8t = -7 + 8t + -8t

Combine like terms: 2t + -8t = -6t
5 + -6t = -7 + 8t + -8t

Combine like terms: 8t + -8t = 0
5 + -6t = -7 + 0
5 + -6t = -7

Add '-5' to each side of the equation.
5 + -5 + -6t = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -6t = -7 + -5
-6t = -7 + -5

Combine like terms: -7 + -5 = -12
-6t = -12

Divide each side by '-6'.
t = 2

Simplifying
t = 2

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