4(u-5)-1=-4(-4u+4)-2u

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Solution for 4(u-5)-1=-4(-4u+4)-2u equation:


Simplifying
4(u + -5) + -1 = -4(-4u + 4) + -2u

Reorder the terms:
4(-5 + u) + -1 = -4(-4u + 4) + -2u
(-5 * 4 + u * 4) + -1 = -4(-4u + 4) + -2u
(-20 + 4u) + -1 = -4(-4u + 4) + -2u

Reorder the terms:
-20 + -1 + 4u = -4(-4u + 4) + -2u

Combine like terms: -20 + -1 = -21
-21 + 4u = -4(-4u + 4) + -2u

Reorder the terms:
-21 + 4u = -4(4 + -4u) + -2u
-21 + 4u = (4 * -4 + -4u * -4) + -2u
-21 + 4u = (-16 + 16u) + -2u

Combine like terms: 16u + -2u = 14u
-21 + 4u = -16 + 14u

Solving
-21 + 4u = -16 + 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.
-21 + 4u + -14u = -16 + 14u + -14u

Combine like terms: 4u + -14u = -10u
-21 + -10u = -16 + 14u + -14u

Combine like terms: 14u + -14u = 0
-21 + -10u = -16 + 0
-21 + -10u = -16

Add '21' to each side of the equation.
-21 + 21 + -10u = -16 + 21

Combine like terms: -21 + 21 = 0
0 + -10u = -16 + 21
-10u = -16 + 21

Combine like terms: -16 + 21 = 5
-10u = 5

Divide each side by '-10'.
u = -0.5

Simplifying
u = -0.5

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