6(7-u)+u=36+u

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Solution for 6(7-u)+u=36+u equation: 


Simplifying
6(7 + -1u) + u = 36 + u
(7 * 6 + -1u * 6) + u = 36 + u
(42 + -6u) + u = 36 + u

Combine like terms: -6u + u = -5u
42 + -5u = 36 + u

Solving
42 + -5u = 36 + u

Solving for variable 'u'.

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

Add '-1u' to each side of the equation.
42 + -5u + -1u = 36 + u + -1u

Combine like terms: -5u + -1u = -6u
42 + -6u = 36 + u + -1u

Combine like terms: u + -1u = 0
42 + -6u = 36 + 0
42 + -6u = 36

Add '-42' to each side of the equation.
42 + -42 + -6u = 36 + -42

Combine like terms: 42 + -42 = 0
0 + -6u = 36 + -42
-6u = 36 + -42

Combine like terms: 36 + -42 = -6
-6u = -6

Divide each side by '-6'.
u = 1

Simplifying
u = 1

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