9+2(2u-6)=-2(9u-1)+7u

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Solution for 9+2(2u-6)=-2(9u-1)+7u equation:


Simplifying
9 + 2(2u + -6) = -2(9u + -1) + 7u

Reorder the terms:
9 + 2(-6 + 2u) = -2(9u + -1) + 7u
9 + (-6 * 2 + 2u * 2) = -2(9u + -1) + 7u
9 + (-12 + 4u) = -2(9u + -1) + 7u

Combine like terms: 9 + -12 = -3
-3 + 4u = -2(9u + -1) + 7u

Reorder the terms:
-3 + 4u = -2(-1 + 9u) + 7u
-3 + 4u = (-1 * -2 + 9u * -2) + 7u
-3 + 4u = (2 + -18u) + 7u

Combine like terms: -18u + 7u = -11u
-3 + 4u = 2 + -11u

Solving
-3 + 4u = 2 + -11u

Solving for variable 'u'.

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

Add '11u' to each side of the equation.
-3 + 4u + 11u = 2 + -11u + 11u

Combine like terms: 4u + 11u = 15u
-3 + 15u = 2 + -11u + 11u

Combine like terms: -11u + 11u = 0
-3 + 15u = 2 + 0
-3 + 15u = 2

Add '3' to each side of the equation.
-3 + 3 + 15u = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 15u = 2 + 3
15u = 2 + 3

Combine like terms: 2 + 3 = 5
15u = 5

Divide each side by '15'.
u = 0.3333333333

Simplifying
u = 0.3333333333

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