3r+9r+(12-2r)=2

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Solution for 3r+9r+(12-2r)=2 equation:


Simplifying
3r + 9r + (12 + -2r) = 2

Remove parenthesis around (12 + -2r)
3r + 9r + 12 + -2r = 2

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

Combine like terms: 3r + 9r = 12r
12 + 12r + -2r = 2

Combine like terms: 12r + -2r = 10r
12 + 10r = 2

Solving
12 + 10r = 2

Solving for variable 'r'.

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

Add '-12' to each side of the equation.
12 + -12 + 10r = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 10r = 2 + -12
10r = 2 + -12

Combine like terms: 2 + -12 = -10
10r = -10

Divide each side by '10'.
r = -1

Simplifying
r = -1

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