7(u-3)-9=-3(-9u+8)-5u

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Solution for 7(u-3)-9=-3(-9u+8)-5u equation:


Simplifying
7(u + -3) + -9 = -3(-9u + 8) + -5u

Reorder the terms:
7(-3 + u) + -9 = -3(-9u + 8) + -5u
(-3 * 7 + u * 7) + -9 = -3(-9u + 8) + -5u
(-21 + 7u) + -9 = -3(-9u + 8) + -5u

Reorder the terms:
-21 + -9 + 7u = -3(-9u + 8) + -5u

Combine like terms: -21 + -9 = -30
-30 + 7u = -3(-9u + 8) + -5u

Reorder the terms:
-30 + 7u = -3(8 + -9u) + -5u
-30 + 7u = (8 * -3 + -9u * -3) + -5u
-30 + 7u = (-24 + 27u) + -5u

Combine like terms: 27u + -5u = 22u
-30 + 7u = -24 + 22u

Solving
-30 + 7u = -24 + 22u

Solving for variable 'u'.

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

Add '-22u' to each side of the equation.
-30 + 7u + -22u = -24 + 22u + -22u

Combine like terms: 7u + -22u = -15u
-30 + -15u = -24 + 22u + -22u

Combine like terms: 22u + -22u = 0
-30 + -15u = -24 + 0
-30 + -15u = -24

Add '30' to each side of the equation.
-30 + 30 + -15u = -24 + 30

Combine like terms: -30 + 30 = 0
0 + -15u = -24 + 30
-15u = -24 + 30

Combine like terms: -24 + 30 = 6
-15u = 6

Divide each side by '-15'.
u = -0.4

Simplifying
u = -0.4

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