6(5-t)+9=-9(t-2)-6

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Solution for 6(5-t)+9=-9(t-2)-6 equation: 


Simplifying
6(5 + -1t) + 9 = -9(t + -2) + -6
(5 * 6 + -1t * 6) + 9 = -9(t + -2) + -6
(30 + -6t) + 9 = -9(t + -2) + -6

Reorder the terms:
30 + 9 + -6t = -9(t + -2) + -6

Combine like terms: 30 + 9 = 39
39 + -6t = -9(t + -2) + -6

Reorder the terms:
39 + -6t = -9(-2 + t) + -6
39 + -6t = (-2 * -9 + t * -9) + -6
39 + -6t = (18 + -9t) + -6

Reorder the terms:
39 + -6t = 18 + -6 + -9t

Combine like terms: 18 + -6 = 12
39 + -6t = 12 + -9t

Solving
39 + -6t = 12 + -9t

Solving for variable 't'.

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

Add '9t' to each side of the equation.
39 + -6t + 9t = 12 + -9t + 9t

Combine like terms: -6t + 9t = 3t
39 + 3t = 12 + -9t + 9t

Combine like terms: -9t + 9t = 0
39 + 3t = 12 + 0
39 + 3t = 12

Add '-39' to each side of the equation.
39 + -39 + 3t = 12 + -39

Combine like terms: 39 + -39 = 0
0 + 3t = 12 + -39
3t = 12 + -39

Combine like terms: 12 + -39 = -27
3t = -27

Divide each side by '3'.
t = -9

Simplifying
t = -9

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