2r+11=5-2(3r+3)

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Solution for 2r+11=5-2(3r+3) equation: 


Simplifying
2r + 11 = 5 + -2(3r + 3)

Reorder the terms:
11 + 2r = 5 + -2(3r + 3)

Reorder the terms:
11 + 2r = 5 + -2(3 + 3r)
11 + 2r = 5 + (3 * -2 + 3r * -2)
11 + 2r = 5 + (-6 + -6r)

Combine like terms: 5 + -6 = -1
11 + 2r = -1 + -6r

Solving
11 + 2r = -1 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
11 + 2r + 6r = -1 + -6r + 6r

Combine like terms: 2r + 6r = 8r
11 + 8r = -1 + -6r + 6r

Combine like terms: -6r + 6r = 0
11 + 8r = -1 + 0
11 + 8r = -1

Add '-11' to each side of the equation.
11 + -11 + 8r = -1 + -11

Combine like terms: 11 + -11 = 0
0 + 8r = -1 + -11
8r = -1 + -11

Combine like terms: -1 + -11 = -12
8r = -12

Divide each side by '8'.
r = -1.5

Simplifying
r = -1.5

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