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

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


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

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

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

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

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

Combine like terms: 8t + -3t = 5t
28 + 5t = 6(-7) + 8

Multiply 6 * -7
28 + 5t = -42 + 8

Combine like terms: -42 + 8 = -34
28 + 5t = -34

Solving
28 + 5t = -34

Solving for variable 't'.

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

Add '-28' to each side of the equation.
28 + -28 + 5t = -34 + -28

Combine like terms: 28 + -28 = 0
0 + 5t = -34 + -28
5t = -34 + -28

Combine like terms: -34 + -28 = -62
5t = -62

Divide each side by '5'.
t = -12.4

Simplifying
t = -12.4

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