7(u-6)=5u-28

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Solution for 7(u-6)=5u-28 equation:


Simplifying
7(u + -6) = 5u + -28

Reorder the terms:
7(-6 + u) = 5u + -28
(-6 * 7 + u * 7) = 5u + -28
(-42 + 7u) = 5u + -28

Reorder the terms:
-42 + 7u = -28 + 5u

Solving
-42 + 7u = -28 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-42 + 7u + -5u = -28 + 5u + -5u

Combine like terms: 7u + -5u = 2u
-42 + 2u = -28 + 5u + -5u

Combine like terms: 5u + -5u = 0
-42 + 2u = -28 + 0
-42 + 2u = -28

Add '42' to each side of the equation.
-42 + 42 + 2u = -28 + 42

Combine like terms: -42 + 42 = 0
0 + 2u = -28 + 42
2u = -28 + 42

Combine like terms: -28 + 42 = 14
2u = 14

Divide each side by '2'.
u = 7

Simplifying
u = 7

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