r+22=3(4+3r)-6

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Solution for r+22=3(4+3r)-6 equation: 


Simplifying
r + 22 = 3(4 + 3r) + -6

Reorder the terms:
22 + r = 3(4 + 3r) + -6
22 + r = (4 * 3 + 3r * 3) + -6
22 + r = (12 + 9r) + -6

Reorder the terms:
22 + r = 12 + -6 + 9r

Combine like terms: 12 + -6 = 6
22 + r = 6 + 9r

Solving
22 + r = 6 + 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.
22 + r + -9r = 6 + 9r + -9r

Combine like terms: r + -9r = -8r
22 + -8r = 6 + 9r + -9r

Combine like terms: 9r + -9r = 0
22 + -8r = 6 + 0
22 + -8r = 6

Add '-22' to each side of the equation.
22 + -22 + -8r = 6 + -22

Combine like terms: 22 + -22 = 0
0 + -8r = 6 + -22
-8r = 6 + -22

Combine like terms: 6 + -22 = -16
-8r = -16

Divide each side by '-8'.
r = 2

Simplifying
r = 2

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