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Simplifying 10 + -22 = 29 + -7r Combine like terms: 10 + -22 = -12 -12 = 29 + -7r Solving -12 = 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. -12 + 7r = 29 + -7r + 7r Combine like terms: -7r + 7r = 0 -12 + 7r = 29 + 0 -12 + 7r = 29 Add '12' to each side of the equation. -12 + 12 + 7r = 29 + 12 Combine like terms: -12 + 12 = 0 0 + 7r = 29 + 12 7r = 29 + 12 Combine like terms: 29 + 12 = 41 7r = 41 Divide each side by '7'. r = 5.857142857 Simplifying r = 5.857142857
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