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Simplifying 3r + 10 = 5r + -46 Reorder the terms: 10 + 3r = 5r + -46 Reorder the terms: 10 + 3r = -46 + 5r Solving 10 + 3r = -46 + 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. 10 + 3r + -5r = -46 + 5r + -5r Combine like terms: 3r + -5r = -2r 10 + -2r = -46 + 5r + -5r Combine like terms: 5r + -5r = 0 10 + -2r = -46 + 0 10 + -2r = -46 Add '-10' to each side of the equation. 10 + -10 + -2r = -46 + -10 Combine like terms: 10 + -10 = 0 0 + -2r = -46 + -10 -2r = -46 + -10 Combine like terms: -46 + -10 = -56 -2r = -56 Divide each side by '-2'. r = 28 Simplifying r = 28
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