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

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


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

Reorder the terms:
-7(-6 + 2u) + 4u = 6(u + 4)
(-6 * -7 + 2u * -7) + 4u = 6(u + 4)
(42 + -14u) + 4u = 6(u + 4)

Combine like terms: -14u + 4u = -10u
42 + -10u = 6(u + 4)

Reorder the terms:
42 + -10u = 6(4 + u)
42 + -10u = (4 * 6 + u * 6)
42 + -10u = (24 + 6u)

Solving
42 + -10u = 24 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
42 + -10u + -6u = 24 + 6u + -6u

Combine like terms: -10u + -6u = -16u
42 + -16u = 24 + 6u + -6u

Combine like terms: 6u + -6u = 0
42 + -16u = 24 + 0
42 + -16u = 24

Add '-42' to each side of the equation.
42 + -42 + -16u = 24 + -42

Combine like terms: 42 + -42 = 0
0 + -16u = 24 + -42
-16u = 24 + -42

Combine like terms: 24 + -42 = -18
-16u = -18

Divide each side by '-16'.
u = 1.125

Simplifying
u = 1.125

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