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

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


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

Reorder the terms:
22 + 6 + -2t = -6(t + -2) + -11

Combine like terms: 22 + 6 = 28
28 + -2t = -6(t + -2) + -11

Reorder the terms:
28 + -2t = -6(-2 + t) + -11
28 + -2t = (-2 * -6 + t * -6) + -11
28 + -2t = (12 + -6t) + -11

Reorder the terms:
28 + -2t = 12 + -11 + -6t

Combine like terms: 12 + -11 = 1
28 + -2t = 1 + -6t

Solving
28 + -2t = 1 + -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 = 1 + -6t + 6t

Combine like terms: -2t + 6t = 4t
28 + 4t = 1 + -6t + 6t

Combine like terms: -6t + 6t = 0
28 + 4t = 1 + 0
28 + 4t = 1

Add '-28' to each side of the equation.
28 + -28 + 4t = 1 + -28

Combine like terms: 28 + -28 = 0
0 + 4t = 1 + -28
4t = 1 + -28

Combine like terms: 1 + -28 = -27
4t = -27

Divide each side by '4'.
t = -6.75

Simplifying
t = -6.75

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