7r+8=22r+11

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Solution for 7r+8=22r+11 equation:


Simplifying
7r + 8 = 22r + 11

Reorder the terms:
8 + 7r = 22r + 11

Reorder the terms:
8 + 7r = 11 + 22r

Solving
8 + 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.
8 + 7r + -22r = 11 + 22r + -22r

Combine like terms: 7r + -22r = -15r
8 + -15r = 11 + 22r + -22r

Combine like terms: 22r + -22r = 0
8 + -15r = 11 + 0
8 + -15r = 11

Add '-8' to each side of the equation.
8 + -8 + -15r = 11 + -8

Combine like terms: 8 + -8 = 0
0 + -15r = 11 + -8
-15r = 11 + -8

Combine like terms: 11 + -8 = 3
-15r = 3

Divide each side by '-15'.
r = -0.2

Simplifying
r = -0.2

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