.5t+.25(t+16)=4t+.75t

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Solution for .5t+.25(t+16)=4t+.75t equation:


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

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

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

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

Combine like terms: 4t + 0.75t = 4.75t
4 + 0.75t = 4.75t

Solving
4 + 0.75t = 4.75t

Solving for variable 't'.

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

Add '-4.75t' to each side of the equation.
4 + 0.75t + -4.75t = 4.75t + -4.75t

Combine like terms: 0.75t + -4.75t = -4t
4 + -4t = 4.75t + -4.75t

Combine like terms: 4.75t + -4.75t = 0.00
4 + -4t = 0.00

Add '-4' to each side of the equation.
4 + -4 + -4t = 0.00 + -4

Combine like terms: 4 + -4 = 0
0 + -4t = 0.00 + -4
-4t = 0.00 + -4

Combine like terms: 0.00 + -4 = -4
-4t = -4

Divide each side by '-4'.
t = 1

Simplifying
t = 1

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