8(T+2)-3=6(T-7)+8

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Solution for 8(T+2)-3=6(T-7)+8 equation: 


Simplifying
8(T + 2) + -3 = 6(T + -7) + 8

Reorder the terms:
8(2 + T) + -3 = 6(T + -7) + 8
(2 * 8 + T * 8) + -3 = 6(T + -7) + 8
(16 + 8T) + -3 = 6(T + -7) + 8

Reorder the terms:
16 + -3 + 8T = 6(T + -7) + 8

Combine like terms: 16 + -3 = 13
13 + 8T = 6(T + -7) + 8

Reorder the terms:
13 + 8T = 6(-7 + T) + 8
13 + 8T = (-7 * 6 + T * 6) + 8
13 + 8T = (-42 + 6T) + 8

Reorder the terms:
13 + 8T = -42 + 8 + 6T

Combine like terms: -42 + 8 = -34
13 + 8T = -34 + 6T

Solving
13 + 8T = -34 + 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.
13 + 8T + -6T = -34 + 6T + -6T

Combine like terms: 8T + -6T = 2T
13 + 2T = -34 + 6T + -6T

Combine like terms: 6T + -6T = 0
13 + 2T = -34 + 0
13 + 2T = -34

Add '-13' to each side of the equation.
13 + -13 + 2T = -34 + -13

Combine like terms: 13 + -13 = 0
0 + 2T = -34 + -13
2T = -34 + -13

Combine like terms: -34 + -13 = -47
2T = -47

Divide each side by '2'.
T = -23.5

Simplifying
T = -23.5

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