6u-15=-3(u-1)

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Solution for 6u-15=-3(u-1) equation:


Simplifying
6u + -15 = -3(u + -1)

Reorder the terms:
-15 + 6u = -3(u + -1)

Reorder the terms:
-15 + 6u = -3(-1 + u)
-15 + 6u = (-1 * -3 + u * -3)
-15 + 6u = (3 + -3u)

Solving
-15 + 6u = 3 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
-15 + 6u + 3u = 3 + -3u + 3u

Combine like terms: 6u + 3u = 9u
-15 + 9u = 3 + -3u + 3u

Combine like terms: -3u + 3u = 0
-15 + 9u = 3 + 0
-15 + 9u = 3

Add '15' to each side of the equation.
-15 + 15 + 9u = 3 + 15

Combine like terms: -15 + 15 = 0
0 + 9u = 3 + 15
9u = 3 + 15

Combine like terms: 3 + 15 = 18
9u = 18

Divide each side by '9'.
u = 2

Simplifying
u = 2

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