10u+7=(2u-4)-9

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Solution for 10u+7=(2u-4)-9 equation:


Simplifying
10u + 7 = (2u + -4) + -9

Reorder the terms:
7 + 10u = (2u + -4) + -9

Reorder the terms:
7 + 10u = (-4 + 2u) + -9

Remove parenthesis around (-4 + 2u)
7 + 10u = -4 + 2u + -9

Reorder the terms:
7 + 10u = -4 + -9 + 2u

Combine like terms: -4 + -9 = -13
7 + 10u = -13 + 2u

Solving
7 + 10u = -13 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
7 + 10u + -2u = -13 + 2u + -2u

Combine like terms: 10u + -2u = 8u
7 + 8u = -13 + 2u + -2u

Combine like terms: 2u + -2u = 0
7 + 8u = -13 + 0
7 + 8u = -13

Add '-7' to each side of the equation.
7 + -7 + 8u = -13 + -7

Combine like terms: 7 + -7 = 0
0 + 8u = -13 + -7
8u = -13 + -7

Combine like terms: -13 + -7 = -20
8u = -20

Divide each side by '8'.
u = -2.5

Simplifying
u = -2.5

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