9=-1(r-5)+11

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Solution for 9=-1(r-5)+11 equation:


Simplifying
9 = -1(r + -5) + 11

Reorder the terms:
9 = -1(-5 + r) + 11
9 = (-5 * -1 + r * -1) + 11
9 = (5 + -1r) + 11

Reorder the terms:
9 = 5 + 11 + -1r

Combine like terms: 5 + 11 = 16
9 = 16 + -1r

Solving
9 = 16 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
9 + r = 16 + -1r + r

Combine like terms: -1r + r = 0
9 + r = 16 + 0
9 + r = 16

Add '-9' to each side of the equation.
9 + -9 + r = 16 + -9

Combine like terms: 9 + -9 = 0
0 + r = 16 + -9
r = 16 + -9

Combine like terms: 16 + -9 = 7
r = 7

Simplifying
r = 7

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