.5t+8=2t-16-.5t

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Solution for .5t+8=2t-16-.5t equation: 


Simplifying
0.5t + 8 = 2t + -16 + -0.5t

Reorder the terms:
8 + 0.5t = 2t + -16 + -0.5t

Reorder the terms:
8 + 0.5t = -16 + 2t + -0.5t

Combine like terms: 2t + -0.5t = 1.5t
8 + 0.5t = -16 + 1.5t

Solving
8 + 0.5t = -16 + 1.5t

Solving for variable 't'.

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

Add '-1.5t' to each side of the equation.
8 + 0.5t + -1.5t = -16 + 1.5t + -1.5t

Combine like terms: 0.5t + -1.5t = -1t
8 + -1t = -16 + 1.5t + -1.5t

Combine like terms: 1.5t + -1.5t = 0.0
8 + -1t = -16 + 0.0
8 + -1t = -16

Add '-8' to each side of the equation.
8 + -8 + -1t = -16 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = -16 + -8
-1t = -16 + -8

Combine like terms: -16 + -8 = -24
-1t = -24

Divide each side by '-1'.
t = 24

Simplifying
t = 24

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