6(o+3)+3o=3(o-2)

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


Simplifying
6(o + 3) + 3o = 3(o + -2)

Reorder the terms:
6(3 + o) + 3o = 3(o + -2)
(3 * 6 + o * 6) + 3o = 3(o + -2)
(18 + 6o) + 3o = 3(o + -2)

Combine like terms: 6o + 3o = 9o
18 + 9o = 3(o + -2)

Reorder the terms:
18 + 9o = 3(-2 + o)
18 + 9o = (-2 * 3 + o * 3)
18 + 9o = (-6 + 3o)

Solving
18 + 9o = -6 + 3o

Solving for variable 'o'.

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

Add '-3o' to each side of the equation.
18 + 9o + -3o = -6 + 3o + -3o

Combine like terms: 9o + -3o = 6o
18 + 6o = -6 + 3o + -3o

Combine like terms: 3o + -3o = 0
18 + 6o = -6 + 0
18 + 6o = -6

Add '-18' to each side of the equation.
18 + -18 + 6o = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 6o = -6 + -18
6o = -6 + -18

Combine like terms: -6 + -18 = -24
6o = -24

Divide each side by '6'.
o = -4

Simplifying
o = -4

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