9+5(2u-3)=-2(3u-4)+8u

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Solution for 9+5(2u-3)=-2(3u-4)+8u equation:


Simplifying
9 + 5(2u + -3) = -2(3u + -4) + 8u

Reorder the terms:
9 + 5(-3 + 2u) = -2(3u + -4) + 8u
9 + (-3 * 5 + 2u * 5) = -2(3u + -4) + 8u
9 + (-15 + 10u) = -2(3u + -4) + 8u

Combine like terms: 9 + -15 = -6
-6 + 10u = -2(3u + -4) + 8u

Reorder the terms:
-6 + 10u = -2(-4 + 3u) + 8u
-6 + 10u = (-4 * -2 + 3u * -2) + 8u
-6 + 10u = (8 + -6u) + 8u

Combine like terms: -6u + 8u = 2u
-6 + 10u = 8 + 2u

Solving
-6 + 10u = 8 + 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.
-6 + 10u + -2u = 8 + 2u + -2u

Combine like terms: 10u + -2u = 8u
-6 + 8u = 8 + 2u + -2u

Combine like terms: 2u + -2u = 0
-6 + 8u = 8 + 0
-6 + 8u = 8

Add '6' to each side of the equation.
-6 + 6 + 8u = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 8u = 8 + 6
8u = 8 + 6

Combine like terms: 8 + 6 = 14
8u = 14

Divide each side by '8'.
u = 1.75

Simplifying
u = 1.75

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