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Simplifying 5r + 10 = 3r + -5 Reorder the terms: 10 + 5r = 3r + -5 Reorder the terms: 10 + 5r = -5 + 3r Solving 10 + 5r = -5 + 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. 10 + 5r + -3r = -5 + 3r + -3r Combine like terms: 5r + -3r = 2r 10 + 2r = -5 + 3r + -3r Combine like terms: 3r + -3r = 0 10 + 2r = -5 + 0 10 + 2r = -5 Add '-10' to each side of the equation. 10 + -10 + 2r = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 2r = -5 + -10 2r = -5 + -10 Combine like terms: -5 + -10 = -15 2r = -15 Divide each side by '2'. r = -7.5 Simplifying r = -7.5
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