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

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


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

Reorder the terms:
4(-8 + t) = 8(t + 3)
(-8 * 4 + t * 4) = 8(t + 3)
(-32 + 4t) = 8(t + 3)

Reorder the terms:
-32 + 4t = 8(3 + t)
-32 + 4t = (3 * 8 + t * 8)
-32 + 4t = (24 + 8t)

Solving
-32 + 4t = 24 + 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 + 4t + -8t = 24 + 8t + -8t

Combine like terms: 4t + -8t = -4t
-32 + -4t = 24 + 8t + -8t

Combine like terms: 8t + -8t = 0
-32 + -4t = 24 + 0
-32 + -4t = 24

Add '32' to each side of the equation.
-32 + 32 + -4t = 24 + 32

Combine like terms: -32 + 32 = 0
0 + -4t = 24 + 32
-4t = 24 + 32

Combine like terms: 24 + 32 = 56
-4t = 56

Divide each side by '-4'.
t = -14

Simplifying
t = -14

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