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Simplifying 12 = -1(8r + -5) + 7(1 + -5r) Reorder the terms: 12 = -1(-5 + 8r) + 7(1 + -5r) 12 = (-5 * -1 + 8r * -1) + 7(1 + -5r) 12 = (5 + -8r) + 7(1 + -5r) 12 = 5 + -8r + (1 * 7 + -5r * 7) 12 = 5 + -8r + (7 + -35r) Reorder the terms: 12 = 5 + 7 + -8r + -35r Combine like terms: 5 + 7 = 12 12 = 12 + -8r + -35r Combine like terms: -8r + -35r = -43r 12 = 12 + -43r Add '-12' to each side of the equation. 12 + -12 = 12 + -12 + -43r Combine like terms: 12 + -12 = 0 0 = 12 + -12 + -43r Combine like terms: 12 + -12 = 0 0 = 0 + -43r 0 = -43r Solving 0 = -43r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '43r' to each side of the equation. 0 + 43r = -43r + 43r Remove the zero: 43r = -43r + 43r Combine like terms: -43r + 43r = 0 43r = 0 Divide each side by '43'. r = 0 Simplifying r = 0
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