5(u-1)-9=-4(-4u+5)-u

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Solution for 5(u-1)-9=-4(-4u+5)-u equation: 


Simplifying
5(u + -1) + -9 = -4(-4u + 5) + -1u

Reorder the terms:
5(-1 + u) + -9 = -4(-4u + 5) + -1u
(-1 * 5 + u * 5) + -9 = -4(-4u + 5) + -1u
(-5 + 5u) + -9 = -4(-4u + 5) + -1u

Reorder the terms:
-5 + -9 + 5u = -4(-4u + 5) + -1u

Combine like terms: -5 + -9 = -14
-14 + 5u = -4(-4u + 5) + -1u

Reorder the terms:
-14 + 5u = -4(5 + -4u) + -1u
-14 + 5u = (5 * -4 + -4u * -4) + -1u
-14 + 5u = (-20 + 16u) + -1u

Combine like terms: 16u + -1u = 15u
-14 + 5u = -20 + 15u

Solving
-14 + 5u = -20 + 15u

Solving for variable 'u'.

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

Add '-15u' to each side of the equation.
-14 + 5u + -15u = -20 + 15u + -15u

Combine like terms: 5u + -15u = -10u
-14 + -10u = -20 + 15u + -15u

Combine like terms: 15u + -15u = 0
-14 + -10u = -20 + 0
-14 + -10u = -20

Add '14' to each side of the equation.
-14 + 14 + -10u = -20 + 14

Combine like terms: -14 + 14 = 0
0 + -10u = -20 + 14
-10u = -20 + 14

Combine like terms: -20 + 14 = -6
-10u = -6

Divide each side by '-10'.
u = 0.6

Simplifying
u = 0.6

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