7(3-u)+u=5+2u

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Solution for 7(3-u)+u=5+2u equation:


Simplifying
7(3 + -1u) + u = 5 + 2u
(3 * 7 + -1u * 7) + u = 5 + 2u
(21 + -7u) + u = 5 + 2u

Combine like terms: -7u + u = -6u
21 + -6u = 5 + 2u

Solving
21 + -6u = 5 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
21 + -6u + -2u = 5 + 2u + -2u

Combine like terms: -6u + -2u = -8u
21 + -8u = 5 + 2u + -2u

Combine like terms: 2u + -2u = 0
21 + -8u = 5 + 0
21 + -8u = 5

Add '-21' to each side of the equation.
21 + -21 + -8u = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -8u = 5 + -21
-8u = 5 + -21

Combine like terms: 5 + -21 = -16
-8u = -16

Divide each side by '-8'.
u = 2

Simplifying
u = 2

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