(7u+7)+2=((4u-8)7)+31

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Solution for (7u+7)+2=((4u-8)7)+31 equation:


Simplifying
(7u + 7) + 2 = ((4u + -8) * 7) + 31

Reorder the terms:
(7 + 7u) + 2 = ((4u + -8) * 7) + 31

Remove parenthesis around (7 + 7u)
7 + 7u + 2 = ((4u + -8) * 7) + 31

Reorder the terms:
7 + 2 + 7u = ((4u + -8) * 7) + 31

Combine like terms: 7 + 2 = 9
9 + 7u = ((4u + -8) * 7) + 31

Reorder the terms:
9 + 7u = ((-8 + 4u) * 7) + 31

Reorder the terms for easier multiplication:
9 + 7u = (7(-8 + 4u)) + 31
9 + 7u = ((-8 * 7 + 4u * 7)) + 31
9 + 7u = ((-56 + 28u)) + 31
9 + 7u = (-56 + 28u) + 31

Remove parenthesis around (-56 + 28u)
9 + 7u = -56 + 28u + 31

Reorder the terms:
9 + 7u = -56 + 31 + 28u

Combine like terms: -56 + 31 = -25
9 + 7u = -25 + 28u

Solving
9 + 7u = -25 + 28u

Solving for variable 'u'.

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

Add '-28u' to each side of the equation.
9 + 7u + -28u = -25 + 28u + -28u

Combine like terms: 7u + -28u = -21u
9 + -21u = -25 + 28u + -28u

Combine like terms: 28u + -28u = 0
9 + -21u = -25 + 0
9 + -21u = -25

Add '-9' to each side of the equation.
9 + -9 + -21u = -25 + -9

Combine like terms: 9 + -9 = 0
0 + -21u = -25 + -9
-21u = -25 + -9

Combine like terms: -25 + -9 = -34
-21u = -34

Divide each side by '-21'.
u = 1.619047619

Simplifying
u = 1.619047619

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