7.5-35.9t=4(-9t+2)

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Solution for 7.5-35.9t=4(-9t+2) equation: 


Simplifying
7.5 + -35.9t = 4(-9t + 2)

Reorder the terms:
7.5 + -35.9t = 4(2 + -9t)
7.5 + -35.9t = (2 * 4 + -9t * 4)
7.5 + -35.9t = (8 + -36t)

Solving
7.5 + -35.9t = 8 + -36t

Solving for variable 't'.

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

Add '36t' to each side of the equation.
7.5 + -35.9t + 36t = 8 + -36t + 36t

Combine like terms: -35.9t + 36t = 0.1t
7.5 + 0.1t = 8 + -36t + 36t

Combine like terms: -36t + 36t = 0
7.5 + 0.1t = 8 + 0
7.5 + 0.1t = 8

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 0.1t = 8 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 0.1t = 8 + -7.5
0.1t = 8 + -7.5

Combine like terms: 8 + -7.5 = 0.5
0.1t = 0.5

Divide each side by '0.1'.
t = 5

Simplifying
t = 5

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