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

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


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

Reorder the terms:
6(-2 + u) + -4 = -4(-5u + 7) + -6u
(-2 * 6 + u * 6) + -4 = -4(-5u + 7) + -6u
(-12 + 6u) + -4 = -4(-5u + 7) + -6u

Reorder the terms:
-12 + -4 + 6u = -4(-5u + 7) + -6u

Combine like terms: -12 + -4 = -16
-16 + 6u = -4(-5u + 7) + -6u

Reorder the terms:
-16 + 6u = -4(7 + -5u) + -6u
-16 + 6u = (7 * -4 + -5u * -4) + -6u
-16 + 6u = (-28 + 20u) + -6u

Combine like terms: 20u + -6u = 14u
-16 + 6u = -28 + 14u

Solving
-16 + 6u = -28 + 14u

Solving for variable 'u'.

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

Add '-14u' to each side of the equation.
-16 + 6u + -14u = -28 + 14u + -14u

Combine like terms: 6u + -14u = -8u
-16 + -8u = -28 + 14u + -14u

Combine like terms: 14u + -14u = 0
-16 + -8u = -28 + 0
-16 + -8u = -28

Add '16' to each side of the equation.
-16 + 16 + -8u = -28 + 16

Combine like terms: -16 + 16 = 0
0 + -8u = -28 + 16
-8u = -28 + 16

Combine like terms: -28 + 16 = -12
-8u = -12

Divide each side by '-8'.
u = 1.5

Simplifying
u = 1.5

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