9=-4(r-5)+11

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Solution for 9=-4(r-5)+11 equation:


Simplifying
9 = -4(r + -5) + 11

Reorder the terms:
9 = -4(-5 + r) + 11
9 = (-5 * -4 + r * -4) + 11
9 = (20 + -4r) + 11

Reorder the terms:
9 = 20 + 11 + -4r

Combine like terms: 20 + 11 = 31
9 = 31 + -4r

Solving
9 = 31 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
9 + 4r = 31 + -4r + 4r

Combine like terms: -4r + 4r = 0
9 + 4r = 31 + 0
9 + 4r = 31

Add '-9' to each side of the equation.
9 + -9 + 4r = 31 + -9

Combine like terms: 9 + -9 = 0
0 + 4r = 31 + -9
4r = 31 + -9

Combine like terms: 31 + -9 = 22
4r = 22

Divide each side by '4'.
r = 5.5

Simplifying
r = 5.5

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