2(11-t)+6=-6(t-4)-8

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Solution for 2(11-t)+6=-6(t-4)-8 equation: 


Simplifying
2(11 + -1t) + 6 = -6(t + -4) + -8
(11 * 2 + -1t * 2) + 6 = -6(t + -4) + -8
(22 + -2t) + 6 = -6(t + -4) + -8

Reorder the terms:
22 + 6 + -2t = -6(t + -4) + -8

Combine like terms: 22 + 6 = 28
28 + -2t = -6(t + -4) + -8

Reorder the terms:
28 + -2t = -6(-4 + t) + -8
28 + -2t = (-4 * -6 + t * -6) + -8
28 + -2t = (24 + -6t) + -8

Reorder the terms:
28 + -2t = 24 + -8 + -6t

Combine like terms: 24 + -8 = 16
28 + -2t = 16 + -6t

Solving
28 + -2t = 16 + -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.
28 + -2t + 6t = 16 + -6t + 6t

Combine like terms: -2t + 6t = 4t
28 + 4t = 16 + -6t + 6t

Combine like terms: -6t + 6t = 0
28 + 4t = 16 + 0
28 + 4t = 16

Add '-28' to each side of the equation.
28 + -28 + 4t = 16 + -28

Combine like terms: 28 + -28 = 0
0 + 4t = 16 + -28
4t = 16 + -28

Combine like terms: 16 + -28 = -12
4t = -12

Divide each side by '4'.
t = -3

Simplifying
t = -3

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