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Simplifying 7 + 3r + -2 = 9r + 29 + -2r Reorder the terms: 7 + -2 + 3r = 9r + 29 + -2r Combine like terms: 7 + -2 = 5 5 + 3r = 9r + 29 + -2r Reorder the terms: 5 + 3r = 29 + 9r + -2r Combine like terms: 9r + -2r = 7r 5 + 3r = 29 + 7r Solving 5 + 3r = 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. 5 + 3r + -7r = 29 + 7r + -7r Combine like terms: 3r + -7r = -4r 5 + -4r = 29 + 7r + -7r Combine like terms: 7r + -7r = 0 5 + -4r = 29 + 0 5 + -4r = 29 Add '-5' to each side of the equation. 5 + -5 + -4r = 29 + -5 Combine like terms: 5 + -5 = 0 0 + -4r = 29 + -5 -4r = 29 + -5 Combine like terms: 29 + -5 = 24 -4r = 24 Divide each side by '-4'. r = -6 Simplifying r = -6
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