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

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


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

Reorder the terms:
-9(-6 + T) + -1(T + 7) = 2
(-6 * -9 + T * -9) + -1(T + 7) = 2
(54 + -9T) + -1(T + 7) = 2

Reorder the terms:
54 + -9T + -1(7 + T) = 2
54 + -9T + (7 * -1 + T * -1) = 2
54 + -9T + (-7 + -1T) = 2

Reorder the terms:
54 + -7 + -9T + -1T = 2

Combine like terms: 54 + -7 = 47
47 + -9T + -1T = 2

Combine like terms: -9T + -1T = -10T
47 + -10T = 2

Solving
47 + -10T = 2

Solving for variable 'T'.

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

Add '-47' to each side of the equation.
47 + -47 + -10T = 2 + -47

Combine like terms: 47 + -47 = 0
0 + -10T = 2 + -47
-10T = 2 + -47

Combine like terms: 2 + -47 = -45
-10T = -45

Divide each side by '-10'.
T = 4.5

Simplifying
T = 4.5

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