3r+11=2-3(3r+3)

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Solution for 3r+11=2-3(3r+3) equation: 


Simplifying
3r + 11 = 2 + -3(3r + 3)

Reorder the terms:
11 + 3r = 2 + -3(3r + 3)

Reorder the terms:
11 + 3r = 2 + -3(3 + 3r)
11 + 3r = 2 + (3 * -3 + 3r * -3)
11 + 3r = 2 + (-9 + -9r)

Combine like terms: 2 + -9 = -7
11 + 3r = -7 + -9r

Solving
11 + 3r = -7 + -9r

Solving for variable 'r'.

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

Add '9r' to each side of the equation.
11 + 3r + 9r = -7 + -9r + 9r

Combine like terms: 3r + 9r = 12r
11 + 12r = -7 + -9r + 9r

Combine like terms: -9r + 9r = 0
11 + 12r = -7 + 0
11 + 12r = -7

Add '-11' to each side of the equation.
11 + -11 + 12r = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 12r = -7 + -11
12r = -7 + -11

Combine like terms: -7 + -11 = -18
12r = -18

Divide each side by '12'.
r = -1.5

Simplifying
r = -1.5

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