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Simplifying -1(1 + -7r) = -15 + 5r (1 * -1 + -7r * -1) = -15 + 5r (-1 + 7r) = -15 + 5r Solving -1 + 7r = -15 + 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. -1 + 7r + -5r = -15 + 5r + -5r Combine like terms: 7r + -5r = 2r -1 + 2r = -15 + 5r + -5r Combine like terms: 5r + -5r = 0 -1 + 2r = -15 + 0 -1 + 2r = -15 Add '1' to each side of the equation. -1 + 1 + 2r = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 2r = -15 + 1 2r = -15 + 1 Combine like terms: -15 + 1 = -14 2r = -14 Divide each side by '2'. r = -7 Simplifying r = -7
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