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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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