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Simplifying 6(4 + 4r) = 4(7r + 13) (4 * 6 + 4r * 6) = 4(7r + 13) (24 + 24r) = 4(7r + 13) Reorder the terms: 24 + 24r = 4(13 + 7r) 24 + 24r = (13 * 4 + 7r * 4) 24 + 24r = (52 + 28r) Solving 24 + 24r = 52 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. 24 + 24r + -28r = 52 + 28r + -28r Combine like terms: 24r + -28r = -4r 24 + -4r = 52 + 28r + -28r Combine like terms: 28r + -28r = 0 24 + -4r = 52 + 0 24 + -4r = 52 Add '-24' to each side of the equation. 24 + -24 + -4r = 52 + -24 Combine like terms: 24 + -24 = 0 0 + -4r = 52 + -24 -4r = 52 + -24 Combine like terms: 52 + -24 = 28 -4r = 28 Divide each side by '-4'. r = -7 Simplifying r = -7
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