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Simplifying 15 + -7r = -1(2r + -5) Reorder the terms: 15 + -7r = -1(-5 + 2r) 15 + -7r = (-5 * -1 + 2r * -1) 15 + -7r = (5 + -2r) Solving 15 + -7r = 5 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 15 + -7r + 2r = 5 + -2r + 2r Combine like terms: -7r + 2r = -5r 15 + -5r = 5 + -2r + 2r Combine like terms: -2r + 2r = 0 15 + -5r = 5 + 0 15 + -5r = 5 Add '-15' to each side of the equation. 15 + -15 + -5r = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -5r = 5 + -15 -5r = 5 + -15 Combine like terms: 5 + -15 = -10 -5r = -10 Divide each side by '-5'. r = 2 Simplifying r = 2
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