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Simplifying 4(7r + 6) = 18 + -5r Reorder the terms: 4(6 + 7r) = 18 + -5r (6 * 4 + 7r * 4) = 18 + -5r (24 + 28r) = 18 + -5r Solving 24 + 28r = 18 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 24 + 28r + 5r = 18 + -5r + 5r Combine like terms: 28r + 5r = 33r 24 + 33r = 18 + -5r + 5r Combine like terms: -5r + 5r = 0 24 + 33r = 18 + 0 24 + 33r = 18 Add '-24' to each side of the equation. 24 + -24 + 33r = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 33r = 18 + -24 33r = 18 + -24 Combine like terms: 18 + -24 = -6 33r = -6 Divide each side by '33'. r = -0.1818181818 Simplifying r = -0.1818181818
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