-4(t-4)+16=4(t+2)

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Solution for -4(t-4)+16=4(t+2) equation: 


Simplifying
-4(t + -4) + 16 = 4(t + 2)

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

Reorder the terms:
16 + 16 + -4t = 4(t + 2)

Combine like terms: 16 + 16 = 32
32 + -4t = 4(t + 2)

Reorder the terms:
32 + -4t = 4(2 + t)
32 + -4t = (2 * 4 + t * 4)
32 + -4t = (8 + 4t)

Solving
32 + -4t = 8 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
32 + -4t + -4t = 8 + 4t + -4t

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

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

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

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

Combine like terms: 8 + -32 = -24
-8t = -24

Divide each side by '-8'.
t = 3

Simplifying
t = 3

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