2(t+6)-4(t-8)=9t+77

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Solution for 2(t+6)-4(t-8)=9t+77 equation: 


Simplifying
2(t + 6) + -4(t + -8) = 9t + 77

Reorder the terms:
2(6 + t) + -4(t + -8) = 9t + 77
(6 * 2 + t * 2) + -4(t + -8) = 9t + 77
(12 + 2t) + -4(t + -8) = 9t + 77

Reorder the terms:
12 + 2t + -4(-8 + t) = 9t + 77
12 + 2t + (-8 * -4 + t * -4) = 9t + 77
12 + 2t + (32 + -4t) = 9t + 77

Reorder the terms:
12 + 32 + 2t + -4t = 9t + 77

Combine like terms: 12 + 32 = 44
44 + 2t + -4t = 9t + 77

Combine like terms: 2t + -4t = -2t
44 + -2t = 9t + 77

Reorder the terms:
44 + -2t = 77 + 9t

Solving
44 + -2t = 77 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
44 + -2t + -9t = 77 + 9t + -9t

Combine like terms: -2t + -9t = -11t
44 + -11t = 77 + 9t + -9t

Combine like terms: 9t + -9t = 0
44 + -11t = 77 + 0
44 + -11t = 77

Add '-44' to each side of the equation.
44 + -44 + -11t = 77 + -44

Combine like terms: 44 + -44 = 0
0 + -11t = 77 + -44
-11t = 77 + -44

Combine like terms: 77 + -44 = 33
-11t = 33

Divide each side by '-11'.
t = -3

Simplifying
t = -3

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