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Simplifying -5r + 22 = -10r + 32 Reorder the terms: 22 + -5r = -10r + 32 Reorder the terms: 22 + -5r = 32 + -10r Solving 22 + -5r = 32 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 22 + -5r + 10r = 32 + -10r + 10r Combine like terms: -5r + 10r = 5r 22 + 5r = 32 + -10r + 10r Combine like terms: -10r + 10r = 0 22 + 5r = 32 + 0 22 + 5r = 32 Add '-22' to each side of the equation. 22 + -22 + 5r = 32 + -22 Combine like terms: 22 + -22 = 0 0 + 5r = 32 + -22 5r = 32 + -22 Combine like terms: 32 + -22 = 10 5r = 10 Divide each side by '5'. r = 2 Simplifying r = 2
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