6+4(2u-2)=-4(4u-4)+9u

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Solution for 6+4(2u-2)=-4(4u-4)+9u equation: 


Simplifying
6 + 4(2u + -2) = -4(4u + -4) + 9u

Reorder the terms:
6 + 4(-2 + 2u) = -4(4u + -4) + 9u
6 + (-2 * 4 + 2u * 4) = -4(4u + -4) + 9u
6 + (-8 + 8u) = -4(4u + -4) + 9u

Combine like terms: 6 + -8 = -2
-2 + 8u = -4(4u + -4) + 9u

Reorder the terms:
-2 + 8u = -4(-4 + 4u) + 9u
-2 + 8u = (-4 * -4 + 4u * -4) + 9u
-2 + 8u = (16 + -16u) + 9u

Combine like terms: -16u + 9u = -7u
-2 + 8u = 16 + -7u

Solving
-2 + 8u = 16 + -7u

Solving for variable 'u'.

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

Add '7u' to each side of the equation.
-2 + 8u + 7u = 16 + -7u + 7u

Combine like terms: 8u + 7u = 15u
-2 + 15u = 16 + -7u + 7u

Combine like terms: -7u + 7u = 0
-2 + 15u = 16 + 0
-2 + 15u = 16

Add '2' to each side of the equation.
-2 + 2 + 15u = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 15u = 16 + 2
15u = 16 + 2

Combine like terms: 16 + 2 = 18
15u = 18

Divide each side by '15'.
u = 1.2

Simplifying
u = 1.2

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