3(11+t)+6=-6(t-2)-5

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Solution for 3(11+t)+6=-6(t-2)-5 equation: 


Simplifying
3(11 + t) + 6 = -6(t + -2) + -5
(11 * 3 + t * 3) + 6 = -6(t + -2) + -5
(33 + 3t) + 6 = -6(t + -2) + -5

Reorder the terms:
33 + 6 + 3t = -6(t + -2) + -5

Combine like terms: 33 + 6 = 39
39 + 3t = -6(t + -2) + -5

Reorder the terms:
39 + 3t = -6(-2 + t) + -5
39 + 3t = (-2 * -6 + t * -6) + -5
39 + 3t = (12 + -6t) + -5

Reorder the terms:
39 + 3t = 12 + -5 + -6t

Combine like terms: 12 + -5 = 7
39 + 3t = 7 + -6t

Solving
39 + 3t = 7 + -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.
39 + 3t + 6t = 7 + -6t + 6t

Combine like terms: 3t + 6t = 9t
39 + 9t = 7 + -6t + 6t

Combine like terms: -6t + 6t = 0
39 + 9t = 7 + 0
39 + 9t = 7

Add '-39' to each side of the equation.
39 + -39 + 9t = 7 + -39

Combine like terms: 39 + -39 = 0
0 + 9t = 7 + -39
9t = 7 + -39

Combine like terms: 7 + -39 = -32
9t = -32

Divide each side by '9'.
t = -3.555555556

Simplifying
t = -3.555555556

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