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

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


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

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

Reorder the terms:
16 + 8t + -3(-4 + 3t) = 6(t + -7) + 8
16 + 8t + (-4 * -3 + 3t * -3) = 6(t + -7) + 8
16 + 8t + (12 + -9t) = 6(t + -7) + 8

Reorder the terms:
16 + 12 + 8t + -9t = 6(t + -7) + 8

Combine like terms: 16 + 12 = 28
28 + 8t + -9t = 6(t + -7) + 8

Combine like terms: 8t + -9t = -1t
28 + -1t = 6(t + -7) + 8

Reorder the terms:
28 + -1t = 6(-7 + t) + 8
28 + -1t = (-7 * 6 + t * 6) + 8
28 + -1t = (-42 + 6t) + 8

Reorder the terms:
28 + -1t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
28 + -1t = -34 + 6t

Solving
28 + -1t = -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.
28 + -1t + -6t = -34 + 6t + -6t

Combine like terms: -1t + -6t = -7t
28 + -7t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
28 + -7t = -34 + 0
28 + -7t = -34

Add '-28' to each side of the equation.
28 + -28 + -7t = -34 + -28

Combine like terms: 28 + -28 = 0
0 + -7t = -34 + -28
-7t = -34 + -28

Combine like terms: -34 + -28 = -62
-7t = -62

Divide each side by '-7'.
t = 8.857142857

Simplifying
t = 8.857142857

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