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Simplifying -8r + 36 = -7(1 + -5r) Reorder the terms: 36 + -8r = -7(1 + -5r) 36 + -8r = (1 * -7 + -5r * -7) 36 + -8r = (-7 + 35r) Solving 36 + -8r = -7 + 35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35r' to each side of the equation. 36 + -8r + -35r = -7 + 35r + -35r Combine like terms: -8r + -35r = -43r 36 + -43r = -7 + 35r + -35r Combine like terms: 35r + -35r = 0 36 + -43r = -7 + 0 36 + -43r = -7 Add '-36' to each side of the equation. 36 + -36 + -43r = -7 + -36 Combine like terms: 36 + -36 = 0 0 + -43r = -7 + -36 -43r = -7 + -36 Combine like terms: -7 + -36 = -43 -43r = -43 Divide each side by '-43'. r = 1 Simplifying r = 1
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