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

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


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

Reorder the terms:
-4(-5 + 3t) + 2t = 7t + -2
(-5 * -4 + 3t * -4) + 2t = 7t + -2
(20 + -12t) + 2t = 7t + -2

Combine like terms: -12t + 2t = -10t
20 + -10t = 7t + -2

Reorder the terms:
20 + -10t = -2 + 7t

Solving
20 + -10t = -2 + 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.
20 + -10t + -7t = -2 + 7t + -7t

Combine like terms: -10t + -7t = -17t
20 + -17t = -2 + 7t + -7t

Combine like terms: 7t + -7t = 0
20 + -17t = -2 + 0
20 + -17t = -2

Add '-20' to each side of the equation.
20 + -20 + -17t = -2 + -20

Combine like terms: 20 + -20 = 0
0 + -17t = -2 + -20
-17t = -2 + -20

Combine like terms: -2 + -20 = -22
-17t = -22

Divide each side by '-17'.
t = 1.294117647

Simplifying
t = 1.294117647

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