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Simplifying 5r + -30 = 3r + 12 Reorder the terms: -30 + 5r = 3r + 12 Reorder the terms: -30 + 5r = 12 + 3r Solving -30 + 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. -30 + 5r + -3r = 12 + 3r + -3r Combine like terms: 5r + -3r = 2r -30 + 2r = 12 + 3r + -3r Combine like terms: 3r + -3r = 0 -30 + 2r = 12 + 0 -30 + 2r = 12 Add '30' to each side of the equation. -30 + 30 + 2r = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 2r = 12 + 30 2r = 12 + 30 Combine like terms: 12 + 30 = 42 2r = 42 Divide each side by '2'. r = 21 Simplifying r = 21
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