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Simplifying -1(7r + -2) = -23 + -2r Reorder the terms: -1(-2 + 7r) = -23 + -2r (-2 * -1 + 7r * -1) = -23 + -2r (2 + -7r) = -23 + -2r Solving 2 + -7r = -23 + -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. 2 + -7r + 2r = -23 + -2r + 2r Combine like terms: -7r + 2r = -5r 2 + -5r = -23 + -2r + 2r Combine like terms: -2r + 2r = 0 2 + -5r = -23 + 0 2 + -5r = -23 Add '-2' to each side of the equation. 2 + -2 + -5r = -23 + -2 Combine like terms: 2 + -2 = 0 0 + -5r = -23 + -2 -5r = -23 + -2 Combine like terms: -23 + -2 = -25 -5r = -25 Divide each side by '-5'. r = 5 Simplifying r = 5
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