3(u-7)-1=-3(-4u+8)-5u

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Solution for 3(u-7)-1=-3(-4u+8)-5u equation: 


Simplifying
3(u + -7) + -1 = -3(-4u + 8) + -5u

Reorder the terms:
3(-7 + u) + -1 = -3(-4u + 8) + -5u
(-7 * 3 + u * 3) + -1 = -3(-4u + 8) + -5u
(-21 + 3u) + -1 = -3(-4u + 8) + -5u

Reorder the terms:
-21 + -1 + 3u = -3(-4u + 8) + -5u

Combine like terms: -21 + -1 = -22
-22 + 3u = -3(-4u + 8) + -5u

Reorder the terms:
-22 + 3u = -3(8 + -4u) + -5u
-22 + 3u = (8 * -3 + -4u * -3) + -5u
-22 + 3u = (-24 + 12u) + -5u

Combine like terms: 12u + -5u = 7u
-22 + 3u = -24 + 7u

Solving
-22 + 3u = -24 + 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.
-22 + 3u + -7u = -24 + 7u + -7u

Combine like terms: 3u + -7u = -4u
-22 + -4u = -24 + 7u + -7u

Combine like terms: 7u + -7u = 0
-22 + -4u = -24 + 0
-22 + -4u = -24

Add '22' to each side of the equation.
-22 + 22 + -4u = -24 + 22

Combine like terms: -22 + 22 = 0
0 + -4u = -24 + 22
-4u = -24 + 22

Combine like terms: -24 + 22 = -2
-4u = -2

Divide each side by '-4'.
u = 0.5

Simplifying
u = 0.5

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