8t+2=2(t-5)-t

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


Simplifying
8t + 2 = 2(t + -5) + -1t

Reorder the terms:
2 + 8t = 2(t + -5) + -1t

Reorder the terms:
2 + 8t = 2(-5 + t) + -1t
2 + 8t = (-5 * 2 + t * 2) + -1t
2 + 8t = (-10 + 2t) + -1t

Combine like terms: 2t + -1t = 1t
2 + 8t = -10 + 1t

Solving
2 + 8t = -10 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
2 + 8t + -1t = -10 + 1t + -1t

Combine like terms: 8t + -1t = 7t
2 + 7t = -10 + 1t + -1t

Combine like terms: 1t + -1t = 0
2 + 7t = -10 + 0
2 + 7t = -10

Add '-2' to each side of the equation.
2 + -2 + 7t = -10 + -2

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

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

Divide each side by '7'.
t = -1.714285714

Simplifying
t = -1.714285714

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