4(u-1)=7u+2-6(-2u-1)

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Solution for 4(u-1)=7u+2-6(-2u-1) equation:


Simplifying
4(u + -1) = 7u + 2 + -6(-2u + -1)

Reorder the terms:
4(-1 + u) = 7u + 2 + -6(-2u + -1)
(-1 * 4 + u * 4) = 7u + 2 + -6(-2u + -1)
(-4 + 4u) = 7u + 2 + -6(-2u + -1)

Reorder the terms:
-4 + 4u = 7u + 2 + -6(-1 + -2u)
-4 + 4u = 7u + 2 + (-1 * -6 + -2u * -6)
-4 + 4u = 7u + 2 + (6 + 12u)

Reorder the terms:
-4 + 4u = 2 + 6 + 7u + 12u

Combine like terms: 2 + 6 = 8
-4 + 4u = 8 + 7u + 12u

Combine like terms: 7u + 12u = 19u
-4 + 4u = 8 + 19u

Solving
-4 + 4u = 8 + 19u

Solving for variable 'u'.

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

Add '-19u' to each side of the equation.
-4 + 4u + -19u = 8 + 19u + -19u

Combine like terms: 4u + -19u = -15u
-4 + -15u = 8 + 19u + -19u

Combine like terms: 19u + -19u = 0
-4 + -15u = 8 + 0
-4 + -15u = 8

Add '4' to each side of the equation.
-4 + 4 + -15u = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -15u = 8 + 4
-15u = 8 + 4

Combine like terms: 8 + 4 = 12
-15u = 12

Divide each side by '-15'.
u = -0.8

Simplifying
u = -0.8

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