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Simplifying 3r + 12 = 5r + 15 Reorder the terms: 12 + 3r = 5r + 15 Reorder the terms: 12 + 3r = 15 + 5r Solving 12 + 3r = 15 + 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. 12 + 3r + -5r = 15 + 5r + -5r Combine like terms: 3r + -5r = -2r 12 + -2r = 15 + 5r + -5r Combine like terms: 5r + -5r = 0 12 + -2r = 15 + 0 12 + -2r = 15 Add '-12' to each side of the equation. 12 + -12 + -2r = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -2r = 15 + -12 -2r = 15 + -12 Combine like terms: 15 + -12 = 3 -2r = 3 Divide each side by '-2'. r = -1.5 Simplifying r = -1.5
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