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Simplifying 5r + 9 = 2r + -12 Reorder the terms: 9 + 5r = 2r + -12 Reorder the terms: 9 + 5r = -12 + 2r Solving 9 + 5r = -12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 9 + 5r + -2r = -12 + 2r + -2r Combine like terms: 5r + -2r = 3r 9 + 3r = -12 + 2r + -2r Combine like terms: 2r + -2r = 0 9 + 3r = -12 + 0 9 + 3r = -12 Add '-9' to each side of the equation. 9 + -9 + 3r = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3r = -12 + -9 3r = -12 + -9 Combine like terms: -12 + -9 = -21 3r = -21 Divide each side by '3'. r = -7 Simplifying r = -7
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