3(-(5u+1)-(-4u+3))=5(u+4)

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Solution for 3(-(5u+1)-(-4u+3))=5(u+4) equation:


Simplifying
3(-1(5u + 1) + -1(-4u + 3)) = 5(u + 4)

Reorder the terms:
3(-1(1 + 5u) + -1(-4u + 3)) = 5(u + 4)
3((1 * -1 + 5u * -1) + -1(-4u + 3)) = 5(u + 4)
3((-1 + -5u) + -1(-4u + 3)) = 5(u + 4)

Reorder the terms:
3(-1 + -5u + -1(3 + -4u)) = 5(u + 4)
3(-1 + -5u + (3 * -1 + -4u * -1)) = 5(u + 4)
3(-1 + -5u + (-3 + 4u)) = 5(u + 4)

Reorder the terms:
3(-1 + -3 + -5u + 4u) = 5(u + 4)

Combine like terms: -1 + -3 = -4
3(-4 + -5u + 4u) = 5(u + 4)

Combine like terms: -5u + 4u = -1u
3(-4 + -1u) = 5(u + 4)
(-4 * 3 + -1u * 3) = 5(u + 4)
(-12 + -3u) = 5(u + 4)

Reorder the terms:
-12 + -3u = 5(4 + u)
-12 + -3u = (4 * 5 + u * 5)
-12 + -3u = (20 + 5u)

Solving
-12 + -3u = 20 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-12 + -3u + -5u = 20 + 5u + -5u

Combine like terms: -3u + -5u = -8u
-12 + -8u = 20 + 5u + -5u

Combine like terms: 5u + -5u = 0
-12 + -8u = 20 + 0
-12 + -8u = 20

Add '12' to each side of the equation.
-12 + 12 + -8u = 20 + 12

Combine like terms: -12 + 12 = 0
0 + -8u = 20 + 12
-8u = 20 + 12

Combine like terms: 20 + 12 = 32
-8u = 32

Divide each side by '-8'.
u = -4

Simplifying
u = -4

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