-3(4t-5)+7t=2t-8

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Solution for -3(4t-5)+7t=2t-8 equation:


Simplifying
-3(4t + -5) + 7t = 2t + -8

Reorder the terms:
-3(-5 + 4t) + 7t = 2t + -8
(-5 * -3 + 4t * -3) + 7t = 2t + -8
(15 + -12t) + 7t = 2t + -8

Combine like terms: -12t + 7t = -5t
15 + -5t = 2t + -8

Reorder the terms:
15 + -5t = -8 + 2t

Solving
15 + -5t = -8 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
15 + -5t + -2t = -8 + 2t + -2t

Combine like terms: -5t + -2t = -7t
15 + -7t = -8 + 2t + -2t

Combine like terms: 2t + -2t = 0
15 + -7t = -8 + 0
15 + -7t = -8

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

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

Combine like terms: -8 + -15 = -23
-7t = -23

Divide each side by '-7'.
t = 3.285714286

Simplifying
t = 3.285714286

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