-3(t-6)-(t+2)=8

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Solution for -3(t-6)-(t+2)=8 equation: 


Simplifying
-3(t + -6) + -1(t + 2) = 8

Reorder the terms:
-3(-6 + t) + -1(t + 2) = 8
(-6 * -3 + t * -3) + -1(t + 2) = 8
(18 + -3t) + -1(t + 2) = 8

Reorder the terms:
18 + -3t + -1(2 + t) = 8
18 + -3t + (2 * -1 + t * -1) = 8
18 + -3t + (-2 + -1t) = 8

Reorder the terms:
18 + -2 + -3t + -1t = 8

Combine like terms: 18 + -2 = 16
16 + -3t + -1t = 8

Combine like terms: -3t + -1t = -4t
16 + -4t = 8

Solving
16 + -4t = 8

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + -4t = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -4t = 8 + -16
-4t = 8 + -16

Combine like terms: 8 + -16 = -8
-4t = -8

Divide each side by '-4'.
t = 2

Simplifying
t = 2

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