7+4(2u-3)=-3(3u-3)+u

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Solution for 7+4(2u-3)=-3(3u-3)+u equation:


Simplifying
7 + 4(2u + -3) = -3(3u + -3) + u

Reorder the terms:
7 + 4(-3 + 2u) = -3(3u + -3) + u
7 + (-3 * 4 + 2u * 4) = -3(3u + -3) + u
7 + (-12 + 8u) = -3(3u + -3) + u

Combine like terms: 7 + -12 = -5
-5 + 8u = -3(3u + -3) + u

Reorder the terms:
-5 + 8u = -3(-3 + 3u) + u
-5 + 8u = (-3 * -3 + 3u * -3) + u
-5 + 8u = (9 + -9u) + u

Combine like terms: -9u + u = -8u
-5 + 8u = 9 + -8u

Solving
-5 + 8u = 9 + -8u

Solving for variable 'u'.

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

Add '8u' to each side of the equation.
-5 + 8u + 8u = 9 + -8u + 8u

Combine like terms: 8u + 8u = 16u
-5 + 16u = 9 + -8u + 8u

Combine like terms: -8u + 8u = 0
-5 + 16u = 9 + 0
-5 + 16u = 9

Add '5' to each side of the equation.
-5 + 5 + 16u = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 16u = 9 + 5
16u = 9 + 5

Combine like terms: 9 + 5 = 14
16u = 14

Divide each side by '16'.
u = 0.875

Simplifying
u = 0.875

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