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Simplifying 87 = 3(1 + -4r) 87 = (1 * 3 + -4r * 3) 87 = (3 + -12r) Solving 87 = 3 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 87 + 12r = 3 + -12r + 12r Combine like terms: -12r + 12r = 0 87 + 12r = 3 + 0 87 + 12r = 3 Add '-87' to each side of the equation. 87 + -87 + 12r = 3 + -87 Combine like terms: 87 + -87 = 0 0 + 12r = 3 + -87 12r = 3 + -87 Combine like terms: 3 + -87 = -84 12r = -84 Divide each side by '12'. r = -7 Simplifying r = -7
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