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

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


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

Reorder the terms:
-5(-2 + 3t) + 4t = 2t + -7
(-2 * -5 + 3t * -5) + 4t = 2t + -7
(10 + -15t) + 4t = 2t + -7

Combine like terms: -15t + 4t = -11t
10 + -11t = 2t + -7

Reorder the terms:
10 + -11t = -7 + 2t

Solving
10 + -11t = -7 + 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.
10 + -11t + -2t = -7 + 2t + -2t

Combine like terms: -11t + -2t = -13t
10 + -13t = -7 + 2t + -2t

Combine like terms: 2t + -2t = 0
10 + -13t = -7 + 0
10 + -13t = -7

Add '-10' to each side of the equation.
10 + -10 + -13t = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -13t = -7 + -10
-13t = -7 + -10

Combine like terms: -7 + -10 = -17
-13t = -17

Divide each side by '-13'.
t = 1.307692308

Simplifying
t = 1.307692308

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