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Simplifying 5r + -2 = 3r + 12 Reorder the terms: -2 + 5r = 3r + 12 Reorder the terms: -2 + 5r = 12 + 3r Solving -2 + 5r = 12 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -2 + 5r + -3r = 12 + 3r + -3r Combine like terms: 5r + -3r = 2r -2 + 2r = 12 + 3r + -3r Combine like terms: 3r + -3r = 0 -2 + 2r = 12 + 0 -2 + 2r = 12 Add '2' to each side of the equation. -2 + 2 + 2r = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2r = 12 + 2 2r = 12 + 2 Combine like terms: 12 + 2 = 14 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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