3(4-t)+6=-6(t-2)-2

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Solution for 3(4-t)+6=-6(t-2)-2 equation: 


Simplifying
3(4 + -1t) + 6 = -6(t + -2) + -2
(4 * 3 + -1t * 3) + 6 = -6(t + -2) + -2
(12 + -3t) + 6 = -6(t + -2) + -2

Reorder the terms:
12 + 6 + -3t = -6(t + -2) + -2

Combine like terms: 12 + 6 = 18
18 + -3t = -6(t + -2) + -2

Reorder the terms:
18 + -3t = -6(-2 + t) + -2
18 + -3t = (-2 * -6 + t * -6) + -2
18 + -3t = (12 + -6t) + -2

Reorder the terms:
18 + -3t = 12 + -2 + -6t

Combine like terms: 12 + -2 = 10
18 + -3t = 10 + -6t

Solving
18 + -3t = 10 + -6t

Solving for variable 't'.

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

Add '6t' to each side of the equation.
18 + -3t + 6t = 10 + -6t + 6t

Combine like terms: -3t + 6t = 3t
18 + 3t = 10 + -6t + 6t

Combine like terms: -6t + 6t = 0
18 + 3t = 10 + 0
18 + 3t = 10

Add '-18' to each side of the equation.
18 + -18 + 3t = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 3t = 10 + -18
3t = 10 + -18

Combine like terms: 10 + -18 = -8
3t = -8

Divide each side by '3'.
t = -2.666666667

Simplifying
t = -2.666666667

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