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Simplifying 22 + 10r = 12r + 10 + -1r Reorder the terms: 22 + 10r = 10 + 12r + -1r Combine like terms: 12r + -1r = 11r 22 + 10r = 10 + 11r Solving 22 + 10r = 10 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. 22 + 10r + -11r = 10 + 11r + -11r Combine like terms: 10r + -11r = -1r 22 + -1r = 10 + 11r + -11r Combine like terms: 11r + -11r = 0 22 + -1r = 10 + 0 22 + -1r = 10 Add '-22' to each side of the equation. 22 + -22 + -1r = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -1r = 10 + -22 -1r = 10 + -22 Combine like terms: 10 + -22 = -12 -1r = -12 Divide each side by '-1'. r = 12 Simplifying r = 12
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