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

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


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

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

Combine like terms: -3t + 5t = 2t
15 + 2t = 7t + -7

Reorder the terms:
15 + 2t = -7 + 7t

Solving
15 + 2t = -7 + 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 + 2t + -7t = -7 + 7t + -7t

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

Combine like terms: 7t + -7t = 0
15 + -5t = -7 + 0
15 + -5t = -7

Add '-15' to each side of the equation.
15 + -15 + -5t = -7 + -15

Combine like terms: 15 + -15 = 0
0 + -5t = -7 + -15
-5t = -7 + -15

Combine like terms: -7 + -15 = -22
-5t = -22

Divide each side by '-5'.
t = 4.4

Simplifying
t = 4.4

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