9+2r=8r-(3r+11)

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Solution for 9+2r=8r-(3r+11) equation:


Simplifying
9 + 2r = 8r + -1(3r + 11)

Reorder the terms:
9 + 2r = 8r + -1(11 + 3r)
9 + 2r = 8r + (11 * -1 + 3r * -1)
9 + 2r = 8r + (-11 + -3r)

Reorder the terms:
9 + 2r = -11 + 8r + -3r

Combine like terms: 8r + -3r = 5r
9 + 2r = -11 + 5r

Solving
9 + 2r = -11 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
9 + 2r + -5r = -11 + 5r + -5r

Combine like terms: 2r + -5r = -3r
9 + -3r = -11 + 5r + -5r

Combine like terms: 5r + -5r = 0
9 + -3r = -11 + 0
9 + -3r = -11

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

Combine like terms: 9 + -9 = 0
0 + -3r = -11 + -9
-3r = -11 + -9

Combine like terms: -11 + -9 = -20
-3r = -20

Divide each side by '-3'.
r = 6.666666667

Simplifying
r = 6.666666667

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