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Simplifying -8(r + -1) = r + -1 Reorder the terms: -8(-1 + r) = r + -1 (-1 * -8 + r * -8) = r + -1 (8 + -8r) = r + -1 Reorder the terms: 8 + -8r = -1 + r Solving 8 + -8r = -1 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 8 + -8r + -1r = -1 + r + -1r Combine like terms: -8r + -1r = -9r 8 + -9r = -1 + r + -1r Combine like terms: r + -1r = 0 8 + -9r = -1 + 0 8 + -9r = -1 Add '-8' to each side of the equation. 8 + -8 + -9r = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -9r = -1 + -8 -9r = -1 + -8 Combine like terms: -1 + -8 = -9 -9r = -9 Divide each side by '-9'. r = 1 Simplifying r = 1
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