5(u-6)-6=-5(-4u+6)-6u

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


Simplifying
5(u + -6) + -6 = -5(-4u + 6) + -6u

Reorder the terms:
5(-6 + u) + -6 = -5(-4u + 6) + -6u
(-6 * 5 + u * 5) + -6 = -5(-4u + 6) + -6u
(-30 + 5u) + -6 = -5(-4u + 6) + -6u

Reorder the terms:
-30 + -6 + 5u = -5(-4u + 6) + -6u

Combine like terms: -30 + -6 = -36
-36 + 5u = -5(-4u + 6) + -6u

Reorder the terms:
-36 + 5u = -5(6 + -4u) + -6u
-36 + 5u = (6 * -5 + -4u * -5) + -6u
-36 + 5u = (-30 + 20u) + -6u

Combine like terms: 20u + -6u = 14u
-36 + 5u = -30 + 14u

Solving
-36 + 5u = -30 + 14u

Solving for variable 'u'.

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

Add '-14u' to each side of the equation.
-36 + 5u + -14u = -30 + 14u + -14u

Combine like terms: 5u + -14u = -9u
-36 + -9u = -30 + 14u + -14u

Combine like terms: 14u + -14u = 0
-36 + -9u = -30 + 0
-36 + -9u = -30

Add '36' to each side of the equation.
-36 + 36 + -9u = -30 + 36

Combine like terms: -36 + 36 = 0
0 + -9u = -30 + 36
-9u = -30 + 36

Combine like terms: -30 + 36 = 6
-9u = 6

Divide each side by '-9'.
u = -0.6666666667

Simplifying
u = -0.6666666667

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