7r+6=22r+11

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Solution for 7r+6=22r+11 equation:


Simplifying
7r + 6 = 22r + 11

Reorder the terms:
6 + 7r = 22r + 11

Reorder the terms:
6 + 7r = 11 + 22r

Solving
6 + 7r = 11 + 22r

Solving for variable 'r'.

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

Add '-22r' to each side of the equation.
6 + 7r + -22r = 11 + 22r + -22r

Combine like terms: 7r + -22r = -15r
6 + -15r = 11 + 22r + -22r

Combine like terms: 22r + -22r = 0
6 + -15r = 11 + 0
6 + -15r = 11

Add '-6' to each side of the equation.
6 + -6 + -15r = 11 + -6

Combine like terms: 6 + -6 = 0
0 + -15r = 11 + -6
-15r = 11 + -6

Combine like terms: 11 + -6 = 5
-15r = 5

Divide each side by '-15'.
r = -0.3333333333

Simplifying
r = -0.3333333333

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