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Simplifying 4 + 2r + -2 = 7r + 29 + -2r Reorder the terms: 4 + -2 + 2r = 7r + 29 + -2r Combine like terms: 4 + -2 = 2 2 + 2r = 7r + 29 + -2r Reorder the terms: 2 + 2r = 29 + 7r + -2r Combine like terms: 7r + -2r = 5r 2 + 2r = 29 + 5r Solving 2 + 2r = 29 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 2 + 2r + -5r = 29 + 5r + -5r Combine like terms: 2r + -5r = -3r 2 + -3r = 29 + 5r + -5r Combine like terms: 5r + -5r = 0 2 + -3r = 29 + 0 2 + -3r = 29 Add '-2' to each side of the equation. 2 + -2 + -3r = 29 + -2 Combine like terms: 2 + -2 = 0 0 + -3r = 29 + -2 -3r = 29 + -2 Combine like terms: 29 + -2 = 27 -3r = 27 Divide each side by '-3'. r = -9 Simplifying r = -9
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