5(u-2)-4=-2(-9u+6)-7u

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Solution for 5(u-2)-4=-2(-9u+6)-7u equation:


Simplifying
5(u + -2) + -4 = -2(-9u + 6) + -7u

Reorder the terms:
5(-2 + u) + -4 = -2(-9u + 6) + -7u
(-2 * 5 + u * 5) + -4 = -2(-9u + 6) + -7u
(-10 + 5u) + -4 = -2(-9u + 6) + -7u

Reorder the terms:
-10 + -4 + 5u = -2(-9u + 6) + -7u

Combine like terms: -10 + -4 = -14
-14 + 5u = -2(-9u + 6) + -7u

Reorder the terms:
-14 + 5u = -2(6 + -9u) + -7u
-14 + 5u = (6 * -2 + -9u * -2) + -7u
-14 + 5u = (-12 + 18u) + -7u

Combine like terms: 18u + -7u = 11u
-14 + 5u = -12 + 11u

Solving
-14 + 5u = -12 + 11u

Solving for variable 'u'.

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

Add '-11u' to each side of the equation.
-14 + 5u + -11u = -12 + 11u + -11u

Combine like terms: 5u + -11u = -6u
-14 + -6u = -12 + 11u + -11u

Combine like terms: 11u + -11u = 0
-14 + -6u = -12 + 0
-14 + -6u = -12

Add '14' to each side of the equation.
-14 + 14 + -6u = -12 + 14

Combine like terms: -14 + 14 = 0
0 + -6u = -12 + 14
-6u = -12 + 14

Combine like terms: -12 + 14 = 2
-6u = 2

Divide each side by '-6'.
u = -0.3333333333

Simplifying
u = -0.3333333333

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