-2(t-1)+6t=7t-8

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Solution for -2(t-1)+6t=7t-8 equation: 


Simplifying
-2(t + -1) + 6t = 7t + -8

Reorder the terms:
-2(-1 + t) + 6t = 7t + -8
(-1 * -2 + t * -2) + 6t = 7t + -8
(2 + -2t) + 6t = 7t + -8

Combine like terms: -2t + 6t = 4t
2 + 4t = 7t + -8

Reorder the terms:
2 + 4t = -8 + 7t

Solving
2 + 4t = -8 + 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.
2 + 4t + -7t = -8 + 7t + -7t

Combine like terms: 4t + -7t = -3t
2 + -3t = -8 + 7t + -7t

Combine like terms: 7t + -7t = 0
2 + -3t = -8 + 0
2 + -3t = -8

Add '-2' to each side of the equation.
2 + -2 + -3t = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -3t = -8 + -2
-3t = -8 + -2

Combine like terms: -8 + -2 = -10
-3t = -10

Divide each side by '-3'.
t = 3.333333333

Simplifying
t = 3.333333333

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