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Simplifying -1(7r + 2) = 2r + 7 Reorder the terms: -1(2 + 7r) = 2r + 7 (2 * -1 + 7r * -1) = 2r + 7 (-2 + -7r) = 2r + 7 Reorder the terms: -2 + -7r = 7 + 2r Solving -2 + -7r = 7 + 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 = 7 + 2r + -2r Combine like terms: -7r + -2r = -9r -2 + -9r = 7 + 2r + -2r Combine like terms: 2r + -2r = 0 -2 + -9r = 7 + 0 -2 + -9r = 7 Add '2' to each side of the equation. -2 + 2 + -9r = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -9r = 7 + 2 -9r = 7 + 2 Combine like terms: 7 + 2 = 9 -9r = 9 Divide each side by '-9'. r = -1 Simplifying r = -1
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