0.5+t+0.25(t+16)=4+0.75t

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Solution for 0.5+t+0.25(t+16)=4+0.75t equation: 


Simplifying
0.5 + t + 0.25(t + 16) = 4 + 0.75t

Reorder the terms:
0.5 + t + 0.25(16 + t) = 4 + 0.75t
0.5 + t + (16 * 0.25 + t * 0.25) = 4 + 0.75t
0.5 + t + (4 + 0.25t) = 4 + 0.75t

Reorder the terms:
0.5 + 4 + t + 0.25t = 4 + 0.75t

Combine like terms: 0.5 + 4 = 4.5
4.5 + t + 0.25t = 4 + 0.75t

Combine like terms: t + 0.25t = 1.25t
4.5 + 1.25t = 4 + 0.75t

Solving
4.5 + 1.25t = 4 + 0.75t

Solving for variable 't'.

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

Add '-0.75t' to each side of the equation.
4.5 + 1.25t + -0.75t = 4 + 0.75t + -0.75t

Combine like terms: 1.25t + -0.75t = 0.5t
4.5 + 0.5t = 4 + 0.75t + -0.75t

Combine like terms: 0.75t + -0.75t = 0.00
4.5 + 0.5t = 4 + 0.00
4.5 + 0.5t = 4

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.5t = 4 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.5t = 4 + -4.5
0.5t = 4 + -4.5

Combine like terms: 4 + -4.5 = -0.5
0.5t = -0.5

Divide each side by '0.5'.
t = -1

Simplifying
t = -1

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