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

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


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

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

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

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

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

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

Reorder the terms:
28 + 5t = 6(-2 + t) + 8
28 + 5t = (-2 * 6 + t * 6) + 8
28 + 5t = (-12 + 6t) + 8

Reorder the terms:
28 + 5t = -12 + 8 + 6t

Combine like terms: -12 + 8 = -4
28 + 5t = -4 + 6t

Solving
28 + 5t = -4 + 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 = -4 + 6t + -6t

Combine like terms: 5t + -6t = -1t
28 + -1t = -4 + 6t + -6t

Combine like terms: 6t + -6t = 0
28 + -1t = -4 + 0
28 + -1t = -4

Add '-28' to each side of the equation.
28 + -28 + -1t = -4 + -28

Combine like terms: 28 + -28 = 0
0 + -1t = -4 + -28
-1t = -4 + -28

Combine like terms: -4 + -28 = -32
-1t = -32

Divide each side by '-1'.
t = 32

Simplifying
t = 32

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