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

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


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

Reorder the terms:
7(7 + u) = -7(2u + -9) + 9u
(7 * 7 + u * 7) = -7(2u + -9) + 9u
(49 + 7u) = -7(2u + -9) + 9u

Reorder the terms:
49 + 7u = -7(-9 + 2u) + 9u
49 + 7u = (-9 * -7 + 2u * -7) + 9u
49 + 7u = (63 + -14u) + 9u

Combine like terms: -14u + 9u = -5u
49 + 7u = 63 + -5u

Solving
49 + 7u = 63 + -5u

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
49 + 7u + 5u = 63 + -5u + 5u

Combine like terms: 7u + 5u = 12u
49 + 12u = 63 + -5u + 5u

Combine like terms: -5u + 5u = 0
49 + 12u = 63 + 0
49 + 12u = 63

Add '-49' to each side of the equation.
49 + -49 + 12u = 63 + -49

Combine like terms: 49 + -49 = 0
0 + 12u = 63 + -49
12u = 63 + -49

Combine like terms: 63 + -49 = 14
12u = 14

Divide each side by '12'.
u = 1.166666667

Simplifying
u = 1.166666667

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