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

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


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

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

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

Reorder the terms:
12 + 32 + 2t + -4t = 8t

Combine like terms: 12 + 32 = 44
44 + 2t + -4t = 8t

Combine like terms: 2t + -4t = -2t
44 + -2t = 8t

Solving
44 + -2t = 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
44 + -2t + -8t = 8t + -8t

Combine like terms: -2t + -8t = -10t
44 + -10t = 8t + -8t

Combine like terms: 8t + -8t = 0
44 + -10t = 0

Add '-44' to each side of the equation.
44 + -44 + -10t = 0 + -44

Combine like terms: 44 + -44 = 0
0 + -10t = 0 + -44
-10t = 0 + -44

Combine like terms: 0 + -44 = -44
-10t = -44

Divide each side by '-10'.
t = 4.4

Simplifying
t = 4.4

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