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

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


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

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

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

Combine like terms: 8t + 4t = 12t
-8 + 12t = 2 + -6(2t + 9)

Reorder the terms:
-8 + 12t = 2 + -6(9 + 2t)
-8 + 12t = 2 + (9 * -6 + 2t * -6)
-8 + 12t = 2 + (-54 + -12t)

Combine like terms: 2 + -54 = -52
-8 + 12t = -52 + -12t

Solving
-8 + 12t = -52 + -12t

Solving for variable 't'.

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

Add '12t' to each side of the equation.
-8 + 12t + 12t = -52 + -12t + 12t

Combine like terms: 12t + 12t = 24t
-8 + 24t = -52 + -12t + 12t

Combine like terms: -12t + 12t = 0
-8 + 24t = -52 + 0
-8 + 24t = -52

Add '8' to each side of the equation.
-8 + 8 + 24t = -52 + 8

Combine like terms: -8 + 8 = 0
0 + 24t = -52 + 8
24t = -52 + 8

Combine like terms: -52 + 8 = -44
24t = -44

Divide each side by '24'.
t = -1.833333333

Simplifying
t = -1.833333333

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