7(12+8t)-6=9(7t+2)-1

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Solution for 7(12+8t)-6=9(7t+2)-1 equation: 


Simplifying
7(12 + 8t) + -6 = 9(7t + 2) + -1
(12 * 7 + 8t * 7) + -6 = 9(7t + 2) + -1
(84 + 56t) + -6 = 9(7t + 2) + -1

Reorder the terms:
84 + -6 + 56t = 9(7t + 2) + -1

Combine like terms: 84 + -6 = 78
78 + 56t = 9(7t + 2) + -1

Reorder the terms:
78 + 56t = 9(2 + 7t) + -1
78 + 56t = (2 * 9 + 7t * 9) + -1
78 + 56t = (18 + 63t) + -1

Reorder the terms:
78 + 56t = 18 + -1 + 63t

Combine like terms: 18 + -1 = 17
78 + 56t = 17 + 63t

Solving
78 + 56t = 17 + 63t

Solving for variable 't'.

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

Add '-63t' to each side of the equation.
78 + 56t + -63t = 17 + 63t + -63t

Combine like terms: 56t + -63t = -7t
78 + -7t = 17 + 63t + -63t

Combine like terms: 63t + -63t = 0
78 + -7t = 17 + 0
78 + -7t = 17

Add '-78' to each side of the equation.
78 + -78 + -7t = 17 + -78

Combine like terms: 78 + -78 = 0
0 + -7t = 17 + -78
-7t = 17 + -78

Combine like terms: 17 + -78 = -61
-7t = -61

Divide each side by '-7'.
t = 8.714285714

Simplifying
t = 8.714285714

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