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Simplifying 107 = 5(1 + -5r) + 2 107 = (1 * 5 + -5r * 5) + 2 107 = (5 + -25r) + 2 Reorder the terms: 107 = 5 + 2 + -25r Combine like terms: 5 + 2 = 7 107 = 7 + -25r Solving 107 = 7 + -25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25r' to each side of the equation. 107 + 25r = 7 + -25r + 25r Combine like terms: -25r + 25r = 0 107 + 25r = 7 + 0 107 + 25r = 7 Add '-107' to each side of the equation. 107 + -107 + 25r = 7 + -107 Combine like terms: 107 + -107 = 0 0 + 25r = 7 + -107 25r = 7 + -107 Combine like terms: 7 + -107 = -100 25r = -100 Divide each side by '25'. r = -4 Simplifying r = -4
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