8(t+2)-3(t-4)-3(t-4)=6(t-7)8

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Solution for 8(t+2)-3(t-4)-3(t-4)=6(t-7)8 equation: 


Simplifying
8(t + 2) + -3(t + -4) + -3(t + -4) = 6(t + -7) * 8

Reorder the terms:
8(2 + t) + -3(t + -4) + -3(t + -4) = 6(t + -7) * 8
(2 * 8 + t * 8) + -3(t + -4) + -3(t + -4) = 6(t + -7) * 8
(16 + 8t) + -3(t + -4) + -3(t + -4) = 6(t + -7) * 8

Reorder the terms:
16 + 8t + -3(-4 + t) + -3(t + -4) = 6(t + -7) * 8
16 + 8t + (-4 * -3 + t * -3) + -3(t + -4) = 6(t + -7) * 8
16 + 8t + (12 + -3t) + -3(t + -4) = 6(t + -7) * 8

Reorder the terms:
16 + 8t + 12 + -3t + -3(-4 + t) = 6(t + -7) * 8
16 + 8t + 12 + -3t + (-4 * -3 + t * -3) = 6(t + -7) * 8
16 + 8t + 12 + -3t + (12 + -3t) = 6(t + -7) * 8

Reorder the terms:
16 + 12 + 12 + 8t + -3t + -3t = 6(t + -7) * 8

Combine like terms: 16 + 12 = 28
28 + 12 + 8t + -3t + -3t = 6(t + -7) * 8

Combine like terms: 28 + 12 = 40
40 + 8t + -3t + -3t = 6(t + -7) * 8

Combine like terms: 8t + -3t = 5t
40 + 5t + -3t = 6(t + -7) * 8

Combine like terms: 5t + -3t = 2t
40 + 2t = 6(t + -7) * 8

Reorder the terms:
40 + 2t = 6(-7 + t) * 8

Reorder the terms for easier multiplication:
40 + 2t = 6 * 8(-7 + t)

Multiply 6 * 8
40 + 2t = 48(-7 + t)
40 + 2t = (-7 * 48 + t * 48)
40 + 2t = (-336 + 48t)

Solving
40 + 2t = -336 + 48t

Solving for variable 't'.

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

Add '-48t' to each side of the equation.
40 + 2t + -48t = -336 + 48t + -48t

Combine like terms: 2t + -48t = -46t
40 + -46t = -336 + 48t + -48t

Combine like terms: 48t + -48t = 0
40 + -46t = -336 + 0
40 + -46t = -336

Add '-40' to each side of the equation.
40 + -40 + -46t = -336 + -40

Combine like terms: 40 + -40 = 0
0 + -46t = -336 + -40
-46t = -336 + -40

Combine like terms: -336 + -40 = -376
-46t = -376

Divide each side by '-46'.
t = 8.173913043

Simplifying
t = 8.173913043

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