7(12+8)-6=9(7T+2)-T

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


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

Combine like terms: 12 + 8 = 20
7(20) + -6 = 9(7T + 2) + -1T

Multiply 7 * 20
140 + -6 = 9(7T + 2) + -1T

Combine like terms: 140 + -6 = 134
134 = 9(7T + 2) + -1T

Reorder the terms:
134 = 9(2 + 7T) + -1T
134 = (2 * 9 + 7T * 9) + -1T
134 = (18 + 63T) + -1T

Combine like terms: 63T + -1T = 62T
134 = 18 + 62T

Solving
134 = 18 + 62T

Solving for variable 'T'.

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

Add '-62T' to each side of the equation.
134 + -62T = 18 + 62T + -62T

Combine like terms: 62T + -62T = 0
134 + -62T = 18 + 0
134 + -62T = 18

Add '-134' to each side of the equation.
134 + -134 + -62T = 18 + -134

Combine like terms: 134 + -134 = 0
0 + -62T = 18 + -134
-62T = 18 + -134

Combine like terms: 18 + -134 = -116
-62T = -116

Divide each side by '-62'.
T = 1.870967742

Simplifying
T = 1.870967742

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