5(u-8)-4=-6(-5u+6)-7u

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Solution for 5(u-8)-4=-6(-5u+6)-7u equation:


Simplifying
5(u + -8) + -4 = -6(-5u + 6) + -7u

Reorder the terms:
5(-8 + u) + -4 = -6(-5u + 6) + -7u
(-8 * 5 + u * 5) + -4 = -6(-5u + 6) + -7u
(-40 + 5u) + -4 = -6(-5u + 6) + -7u

Reorder the terms:
-40 + -4 + 5u = -6(-5u + 6) + -7u

Combine like terms: -40 + -4 = -44
-44 + 5u = -6(-5u + 6) + -7u

Reorder the terms:
-44 + 5u = -6(6 + -5u) + -7u
-44 + 5u = (6 * -6 + -5u * -6) + -7u
-44 + 5u = (-36 + 30u) + -7u

Combine like terms: 30u + -7u = 23u
-44 + 5u = -36 + 23u

Solving
-44 + 5u = -36 + 23u

Solving for variable 'u'.

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

Add '-23u' to each side of the equation.
-44 + 5u + -23u = -36 + 23u + -23u

Combine like terms: 5u + -23u = -18u
-44 + -18u = -36 + 23u + -23u

Combine like terms: 23u + -23u = 0
-44 + -18u = -36 + 0
-44 + -18u = -36

Add '44' to each side of the equation.
-44 + 44 + -18u = -36 + 44

Combine like terms: -44 + 44 = 0
0 + -18u = -36 + 44
-18u = -36 + 44

Combine like terms: -36 + 44 = 8
-18u = 8

Divide each side by '-18'.
u = -0.4444444444

Simplifying
u = -0.4444444444

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