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Simplifying 3(2r + 5) = 5(r + -7) Reorder the terms: 3(5 + 2r) = 5(r + -7) (5 * 3 + 2r * 3) = 5(r + -7) (15 + 6r) = 5(r + -7) Reorder the terms: 15 + 6r = 5(-7 + r) 15 + 6r = (-7 * 5 + r * 5) 15 + 6r = (-35 + 5r) Solving 15 + 6r = -35 + 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. 15 + 6r + -5r = -35 + 5r + -5r Combine like terms: 6r + -5r = 1r 15 + 1r = -35 + 5r + -5r Combine like terms: 5r + -5r = 0 15 + 1r = -35 + 0 15 + 1r = -35 Add '-15' to each side of the equation. 15 + -15 + 1r = -35 + -15 Combine like terms: 15 + -15 = 0 0 + 1r = -35 + -15 1r = -35 + -15 Combine like terms: -35 + -15 = -50 1r = -50 Divide each side by '1'. r = -50 Simplifying r = -50
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