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

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


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

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

Reorder the terms:
16 + 8t = 6(-7 + t) + 8
16 + 8t = (-7 * 6 + t * 6) + 8
16 + 8t = (-42 + 6t) + 8

Reorder the terms:
16 + 8t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
16 + 8t = -34 + 6t

Solving
16 + 8t = -34 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
16 + 8t + -6t = -34 + 6t + -6t

Combine like terms: 8t + -6t = 2t
16 + 2t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
16 + 2t = -34 + 0
16 + 2t = -34

Add '-16' to each side of the equation.
16 + -16 + 2t = -34 + -16

Combine like terms: 16 + -16 = 0
0 + 2t = -34 + -16
2t = -34 + -16

Combine like terms: -34 + -16 = -50
2t = -50

Divide each side by '2'.
t = -25

Simplifying
t = -25

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