3(u-3)=u+3-2(-6u-1)

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Solution for 3(u-3)=u+3-2(-6u-1) equation:


Simplifying
3(u + -3) = u + 3 + -2(-6u + -1)

Reorder the terms:
3(-3 + u) = u + 3 + -2(-6u + -1)
(-3 * 3 + u * 3) = u + 3 + -2(-6u + -1)
(-9 + 3u) = u + 3 + -2(-6u + -1)

Reorder the terms:
-9 + 3u = u + 3 + -2(-1 + -6u)
-9 + 3u = u + 3 + (-1 * -2 + -6u * -2)
-9 + 3u = u + 3 + (2 + 12u)

Reorder the terms:
-9 + 3u = 3 + 2 + u + 12u

Combine like terms: 3 + 2 = 5
-9 + 3u = 5 + u + 12u

Combine like terms: u + 12u = 13u
-9 + 3u = 5 + 13u

Solving
-9 + 3u = 5 + 13u

Solving for variable 'u'.

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

Add '-13u' to each side of the equation.
-9 + 3u + -13u = 5 + 13u + -13u

Combine like terms: 3u + -13u = -10u
-9 + -10u = 5 + 13u + -13u

Combine like terms: 13u + -13u = 0
-9 + -10u = 5 + 0
-9 + -10u = 5

Add '9' to each side of the equation.
-9 + 9 + -10u = 5 + 9

Combine like terms: -9 + 9 = 0
0 + -10u = 5 + 9
-10u = 5 + 9

Combine like terms: 5 + 9 = 14
-10u = 14

Divide each side by '-10'.
u = -1.4

Simplifying
u = -1.4

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