38.75-55t=45(t-.25)

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Solution for 38.75-55t=45(t-.25) equation: 


Simplifying
38.75 + -55t = 45(t + -0.25)

Reorder the terms:
38.75 + -55t = 45(-0.25 + t)
38.75 + -55t = (-0.25 * 45 + t * 45)
38.75 + -55t = (-11.25 + 45t)

Solving
38.75 + -55t = -11.25 + 45t

Solving for variable 't'.

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

Add '-45t' to each side of the equation.
38.75 + -55t + -45t = -11.25 + 45t + -45t

Combine like terms: -55t + -45t = -100t
38.75 + -100t = -11.25 + 45t + -45t

Combine like terms: 45t + -45t = 0
38.75 + -100t = -11.25 + 0
38.75 + -100t = -11.25

Add '-38.75' to each side of the equation.
38.75 + -38.75 + -100t = -11.25 + -38.75

Combine like terms: 38.75 + -38.75 = 0.00
0.00 + -100t = -11.25 + -38.75
-100t = -11.25 + -38.75

Combine like terms: -11.25 + -38.75 = -50
-100t = -50

Divide each side by '-100'.
t = 0.5

Simplifying
t = 0.5

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