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Simplifying 10r + -22 = 29 + -7r Reorder the terms: -22 + 10r = 29 + -7r Solving -22 + 10r = 29 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -22 + 10r + 7r = 29 + -7r + 7r Combine like terms: 10r + 7r = 17r -22 + 17r = 29 + -7r + 7r Combine like terms: -7r + 7r = 0 -22 + 17r = 29 + 0 -22 + 17r = 29 Add '22' to each side of the equation. -22 + 22 + 17r = 29 + 22 Combine like terms: -22 + 22 = 0 0 + 17r = 29 + 22 17r = 29 + 22 Combine like terms: 29 + 22 = 51 17r = 51 Divide each side by '17'. r = 3 Simplifying r = 3
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