6(u-4)-1=-5(-5u+6)-4u

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Solution for 6(u-4)-1=-5(-5u+6)-4u equation:


Simplifying
6(u + -4) + -1 = -5(-5u + 6) + -4u

Reorder the terms:
6(-4 + u) + -1 = -5(-5u + 6) + -4u
(-4 * 6 + u * 6) + -1 = -5(-5u + 6) + -4u
(-24 + 6u) + -1 = -5(-5u + 6) + -4u

Reorder the terms:
-24 + -1 + 6u = -5(-5u + 6) + -4u

Combine like terms: -24 + -1 = -25
-25 + 6u = -5(-5u + 6) + -4u

Reorder the terms:
-25 + 6u = -5(6 + -5u) + -4u
-25 + 6u = (6 * -5 + -5u * -5) + -4u
-25 + 6u = (-30 + 25u) + -4u

Combine like terms: 25u + -4u = 21u
-25 + 6u = -30 + 21u

Solving
-25 + 6u = -30 + 21u

Solving for variable 'u'.

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

Add '-21u' to each side of the equation.
-25 + 6u + -21u = -30 + 21u + -21u

Combine like terms: 6u + -21u = -15u
-25 + -15u = -30 + 21u + -21u

Combine like terms: 21u + -21u = 0
-25 + -15u = -30 + 0
-25 + -15u = -30

Add '25' to each side of the equation.
-25 + 25 + -15u = -30 + 25

Combine like terms: -25 + 25 = 0
0 + -15u = -30 + 25
-15u = -30 + 25

Combine like terms: -30 + 25 = -5
-15u = -5

Divide each side by '-15'.
u = 0.3333333333

Simplifying
u = 0.3333333333

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