13=5(u+3)-3u

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Solution for 13=5(u+3)-3u equation:


Simplifying
13 = 5(u + 3) + -3u

Reorder the terms:
13 = 5(3 + u) + -3u
13 = (3 * 5 + u * 5) + -3u
13 = (15 + 5u) + -3u

Combine like terms: 5u + -3u = 2u
13 = 15 + 2u

Solving
13 = 15 + 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.
13 + -2u = 15 + 2u + -2u

Combine like terms: 2u + -2u = 0
13 + -2u = 15 + 0
13 + -2u = 15

Add '-13' to each side of the equation.
13 + -13 + -2u = 15 + -13

Combine like terms: 13 + -13 = 0
0 + -2u = 15 + -13
-2u = 15 + -13

Combine like terms: 15 + -13 = 2
-2u = 2

Divide each side by '-2'.
u = -1

Simplifying
u = -1

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