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Simplifying 3(r + 5) = 2(5r + -3) Reorder the terms: 3(5 + r) = 2(5r + -3) (5 * 3 + r * 3) = 2(5r + -3) (15 + 3r) = 2(5r + -3) Reorder the terms: 15 + 3r = 2(-3 + 5r) 15 + 3r = (-3 * 2 + 5r * 2) 15 + 3r = (-6 + 10r) Solving 15 + 3r = -6 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 15 + 3r + -10r = -6 + 10r + -10r Combine like terms: 3r + -10r = -7r 15 + -7r = -6 + 10r + -10r Combine like terms: 10r + -10r = 0 15 + -7r = -6 + 0 15 + -7r = -6 Add '-15' to each side of the equation. 15 + -15 + -7r = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -7r = -6 + -15 -7r = -6 + -15 Combine like terms: -6 + -15 = -21 -7r = -21 Divide each side by '-7'. r = 3 Simplifying r = 3
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