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

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


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

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

Reorder the terms:
16 + 8t + -3(-4 + t) = 6(t + -7) + 2
16 + 8t + (-4 * -3 + t * -3) = 6(t + -7) + 2
16 + 8t + (12 + -3t) = 6(t + -7) + 2

Reorder the terms:
16 + 12 + 8t + -3t = 6(t + -7) + 2

Combine like terms: 16 + 12 = 28
28 + 8t + -3t = 6(t + -7) + 2

Combine like terms: 8t + -3t = 5t
28 + 5t = 6(t + -7) + 2

Reorder the terms:
28 + 5t = 6(-7 + t) + 2
28 + 5t = (-7 * 6 + t * 6) + 2
28 + 5t = (-42 + 6t) + 2

Reorder the terms:
28 + 5t = -42 + 2 + 6t

Combine like terms: -42 + 2 = -40
28 + 5t = -40 + 6t

Solving
28 + 5t = -40 + 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 + 5t + -6t = -40 + 6t + -6t

Combine like terms: 5t + -6t = -1t
28 + -1t = -40 + 6t + -6t

Combine like terms: 6t + -6t = 0
28 + -1t = -40 + 0
28 + -1t = -40

Add '-28' to each side of the equation.
28 + -28 + -1t = -40 + -28

Combine like terms: 28 + -28 = 0
0 + -1t = -40 + -28
-1t = -40 + -28

Combine like terms: -40 + -28 = -68
-1t = -68

Divide each side by '-1'.
t = 68

Simplifying
t = 68

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