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Simplifying 4(1 + 7r) = 4(6r + 2) (1 * 4 + 7r * 4) = 4(6r + 2) (4 + 28r) = 4(6r + 2) Reorder the terms: 4 + 28r = 4(2 + 6r) 4 + 28r = (2 * 4 + 6r * 4) 4 + 28r = (8 + 24r) Solving 4 + 28r = 8 + 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. 4 + 28r + -24r = 8 + 24r + -24r Combine like terms: 28r + -24r = 4r 4 + 4r = 8 + 24r + -24r Combine like terms: 24r + -24r = 0 4 + 4r = 8 + 0 4 + 4r = 8 Add '-4' to each side of the equation. 4 + -4 + 4r = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 4r = 8 + -4 4r = 8 + -4 Combine like terms: 8 + -4 = 4 4r = 4 Divide each side by '4'. r = 1 Simplifying r = 1
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