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

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


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

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

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

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

Remove parenthesis around (-2 + t)
28 + -2t = -2 + t + -11

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

Combine like terms: -2 + -11 = -13
28 + -2t = -13 + t

Solving
28 + -2t = -13 + t

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.
28 + -2t + -1t = -13 + t + -1t

Combine like terms: -2t + -1t = -3t
28 + -3t = -13 + t + -1t

Combine like terms: t + -1t = 0
28 + -3t = -13 + 0
28 + -3t = -13

Add '-28' to each side of the equation.
28 + -28 + -3t = -13 + -28

Combine like terms: 28 + -28 = 0
0 + -3t = -13 + -28
-3t = -13 + -28

Combine like terms: -13 + -28 = -41
-3t = -41

Divide each side by '-3'.
t = 13.66666667

Simplifying
t = 13.66666667

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