-5(3u-8)+4=7(u+6)

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Solution for -5(3u-8)+4=7(u+6) equation:


Simplifying
-5(3u + -8) + 4 = 7(u + 6)

Reorder the terms:
-5(-8 + 3u) + 4 = 7(u + 6)
(-8 * -5 + 3u * -5) + 4 = 7(u + 6)
(40 + -15u) + 4 = 7(u + 6)

Reorder the terms:
40 + 4 + -15u = 7(u + 6)

Combine like terms: 40 + 4 = 44
44 + -15u = 7(u + 6)

Reorder the terms:
44 + -15u = 7(6 + u)
44 + -15u = (6 * 7 + u * 7)
44 + -15u = (42 + 7u)

Solving
44 + -15u = 42 + 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.
44 + -15u + -7u = 42 + 7u + -7u

Combine like terms: -15u + -7u = -22u
44 + -22u = 42 + 7u + -7u

Combine like terms: 7u + -7u = 0
44 + -22u = 42 + 0
44 + -22u = 42

Add '-44' to each side of the equation.
44 + -44 + -22u = 42 + -44

Combine like terms: 44 + -44 = 0
0 + -22u = 42 + -44
-22u = 42 + -44

Combine like terms: 42 + -44 = -2
-22u = -2

Divide each side by '-22'.
u = 0.09090909091

Simplifying
u = 0.09090909091

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