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

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


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

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

Solving
36 + -1u = 42 + -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.
36 + -1u + 5u = 42 + -5u + 5u

Combine like terms: -1u + 5u = 4u
36 + 4u = 42 + -5u + 5u

Combine like terms: -5u + 5u = 0
36 + 4u = 42 + 0
36 + 4u = 42

Add '-36' to each side of the equation.
36 + -36 + 4u = 42 + -36

Combine like terms: 36 + -36 = 0
0 + 4u = 42 + -36
4u = 42 + -36

Combine like terms: 42 + -36 = 6
4u = 6

Divide each side by '4'.
u = 1.5

Simplifying
u = 1.5

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