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

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


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

Reorder the terms:
2(-9 + u) + -8 = -2(-3u + 4) + -8u
(-9 * 2 + u * 2) + -8 = -2(-3u + 4) + -8u
(-18 + 2u) + -8 = -2(-3u + 4) + -8u

Reorder the terms:
-18 + -8 + 2u = -2(-3u + 4) + -8u

Combine like terms: -18 + -8 = -26
-26 + 2u = -2(-3u + 4) + -8u

Reorder the terms:
-26 + 2u = -2(4 + -3u) + -8u
-26 + 2u = (4 * -2 + -3u * -2) + -8u
-26 + 2u = (-8 + 6u) + -8u

Combine like terms: 6u + -8u = -2u
-26 + 2u = -8 + -2u

Solving
-26 + 2u = -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.
-26 + 2u + 2u = -8 + -2u + 2u

Combine like terms: 2u + 2u = 4u
-26 + 4u = -8 + -2u + 2u

Combine like terms: -2u + 2u = 0
-26 + 4u = -8 + 0
-26 + 4u = -8

Add '26' to each side of the equation.
-26 + 26 + 4u = -8 + 26

Combine like terms: -26 + 26 = 0
0 + 4u = -8 + 26
4u = -8 + 26

Combine like terms: -8 + 26 = 18
4u = 18

Divide each side by '4'.
u = 4.5

Simplifying
u = 4.5

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