4(u-1)=4u+1-3(-2u-3)

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Solution for 4(u-1)=4u+1-3(-2u-3) equation:


Simplifying
4(u + -1) = 4u + 1 + -3(-2u + -3)

Reorder the terms:
4(-1 + u) = 4u + 1 + -3(-2u + -3)
(-1 * 4 + u * 4) = 4u + 1 + -3(-2u + -3)
(-4 + 4u) = 4u + 1 + -3(-2u + -3)

Reorder the terms:
-4 + 4u = 4u + 1 + -3(-3 + -2u)
-4 + 4u = 4u + 1 + (-3 * -3 + -2u * -3)
-4 + 4u = 4u + 1 + (9 + 6u)

Reorder the terms:
-4 + 4u = 1 + 9 + 4u + 6u

Combine like terms: 1 + 9 = 10
-4 + 4u = 10 + 4u + 6u

Combine like terms: 4u + 6u = 10u
-4 + 4u = 10 + 10u

Solving
-4 + 4u = 10 + 10u

Solving for variable 'u'.

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

Add '-10u' to each side of the equation.
-4 + 4u + -10u = 10 + 10u + -10u

Combine like terms: 4u + -10u = -6u
-4 + -6u = 10 + 10u + -10u

Combine like terms: 10u + -10u = 0
-4 + -6u = 10 + 0
-4 + -6u = 10

Add '4' to each side of the equation.
-4 + 4 + -6u = 10 + 4

Combine like terms: -4 + 4 = 0
0 + -6u = 10 + 4
-6u = 10 + 4

Combine like terms: 10 + 4 = 14
-6u = 14

Divide each side by '-6'.
u = -2.333333333

Simplifying
u = -2.333333333

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