-5(3u-6)+7u=4(u+9)

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Solution for -5(3u-6)+7u=4(u+9) equation:


Simplifying
-5(3u + -6) + 7u = 4(u + 9)

Reorder the terms:
-5(-6 + 3u) + 7u = 4(u + 9)
(-6 * -5 + 3u * -5) + 7u = 4(u + 9)
(30 + -15u) + 7u = 4(u + 9)

Combine like terms: -15u + 7u = -8u
30 + -8u = 4(u + 9)

Reorder the terms:
30 + -8u = 4(9 + u)
30 + -8u = (9 * 4 + u * 4)
30 + -8u = (36 + 4u)

Solving
30 + -8u = 36 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
30 + -8u + -4u = 36 + 4u + -4u

Combine like terms: -8u + -4u = -12u
30 + -12u = 36 + 4u + -4u

Combine like terms: 4u + -4u = 0
30 + -12u = 36 + 0
30 + -12u = 36

Add '-30' to each side of the equation.
30 + -30 + -12u = 36 + -30

Combine like terms: 30 + -30 = 0
0 + -12u = 36 + -30
-12u = 36 + -30

Combine like terms: 36 + -30 = 6
-12u = 6

Divide each side by '-12'.
u = -0.5

Simplifying
u = -0.5

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