9(10-t)+6=-6(t-3)-7

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Solution for 9(10-t)+6=-6(t-3)-7 equation: 


Simplifying
9(10 + -1t) + 6 = -6(t + -3) + -7
(10 * 9 + -1t * 9) + 6 = -6(t + -3) + -7
(90 + -9t) + 6 = -6(t + -3) + -7

Reorder the terms:
90 + 6 + -9t = -6(t + -3) + -7

Combine like terms: 90 + 6 = 96
96 + -9t = -6(t + -3) + -7

Reorder the terms:
96 + -9t = -6(-3 + t) + -7
96 + -9t = (-3 * -6 + t * -6) + -7
96 + -9t = (18 + -6t) + -7

Reorder the terms:
96 + -9t = 18 + -7 + -6t

Combine like terms: 18 + -7 = 11
96 + -9t = 11 + -6t

Solving
96 + -9t = 11 + -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.
96 + -9t + 6t = 11 + -6t + 6t

Combine like terms: -9t + 6t = -3t
96 + -3t = 11 + -6t + 6t

Combine like terms: -6t + 6t = 0
96 + -3t = 11 + 0
96 + -3t = 11

Add '-96' to each side of the equation.
96 + -96 + -3t = 11 + -96

Combine like terms: 96 + -96 = 0
0 + -3t = 11 + -96
-3t = 11 + -96

Combine like terms: 11 + -96 = -85
-3t = -85

Divide each side by '-3'.
t = 28.33333333

Simplifying
t = 28.33333333

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