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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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