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Simplifying 102 = 6(1 + -4r) 102 = (1 * 6 + -4r * 6) 102 = (6 + -24r) Solving 102 = 6 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 102 + 24r = 6 + -24r + 24r Combine like terms: -24r + 24r = 0 102 + 24r = 6 + 0 102 + 24r = 6 Add '-102' to each side of the equation. 102 + -102 + 24r = 6 + -102 Combine like terms: 102 + -102 = 0 0 + 24r = 6 + -102 24r = 6 + -102 Combine like terms: 6 + -102 = -96 24r = -96 Divide each side by '24'. r = -4 Simplifying r = -4
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