2(u-8)-3=-3(-7u+5)-3u

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Solution for 2(u-8)-3=-3(-7u+5)-3u equation:


Simplifying
2(u + -8) + -3 = -3(-7u + 5) + -3u

Reorder the terms:
2(-8 + u) + -3 = -3(-7u + 5) + -3u
(-8 * 2 + u * 2) + -3 = -3(-7u + 5) + -3u
(-16 + 2u) + -3 = -3(-7u + 5) + -3u

Reorder the terms:
-16 + -3 + 2u = -3(-7u + 5) + -3u

Combine like terms: -16 + -3 = -19
-19 + 2u = -3(-7u + 5) + -3u

Reorder the terms:
-19 + 2u = -3(5 + -7u) + -3u
-19 + 2u = (5 * -3 + -7u * -3) + -3u
-19 + 2u = (-15 + 21u) + -3u

Combine like terms: 21u + -3u = 18u
-19 + 2u = -15 + 18u

Solving
-19 + 2u = -15 + 18u

Solving for variable 'u'.

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

Add '-18u' to each side of the equation.
-19 + 2u + -18u = -15 + 18u + -18u

Combine like terms: 2u + -18u = -16u
-19 + -16u = -15 + 18u + -18u

Combine like terms: 18u + -18u = 0
-19 + -16u = -15 + 0
-19 + -16u = -15

Add '19' to each side of the equation.
-19 + 19 + -16u = -15 + 19

Combine like terms: -19 + 19 = 0
0 + -16u = -15 + 19
-16u = -15 + 19

Combine like terms: -15 + 19 = 4
-16u = 4

Divide each side by '-16'.
u = -0.25

Simplifying
u = -0.25

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