4(8-3t)=32-8(t+2)

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Solution for 4(8-3t)=32-8(t+2) equation: 


Simplifying
4(8 + -3t) = 32 + -8(t + 2)
(8 * 4 + -3t * 4) = 32 + -8(t + 2)
(32 + -12t) = 32 + -8(t + 2)

Reorder the terms:
32 + -12t = 32 + -8(2 + t)
32 + -12t = 32 + (2 * -8 + t * -8)
32 + -12t = 32 + (-16 + -8t)

Combine like terms: 32 + -16 = 16
32 + -12t = 16 + -8t

Solving
32 + -12t = 16 + -8t

Solving for variable 't'.

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

Add '8t' to each side of the equation.
32 + -12t + 8t = 16 + -8t + 8t

Combine like terms: -12t + 8t = -4t
32 + -4t = 16 + -8t + 8t

Combine like terms: -8t + 8t = 0
32 + -4t = 16 + 0
32 + -4t = 16

Add '-32' to each side of the equation.
32 + -32 + -4t = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -4t = 16 + -32
-4t = 16 + -32

Combine like terms: 16 + -32 = -16
-4t = -16

Divide each side by '-4'.
t = 4

Simplifying
t = 4

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