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Simplifying 3(1 + -1r) = -6r + 24 (1 * 3 + -1r * 3) = -6r + 24 (3 + -3r) = -6r + 24 Reorder the terms: 3 + -3r = 24 + -6r Solving 3 + -3r = 24 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 3 + -3r + 6r = 24 + -6r + 6r Combine like terms: -3r + 6r = 3r 3 + 3r = 24 + -6r + 6r Combine like terms: -6r + 6r = 0 3 + 3r = 24 + 0 3 + 3r = 24 Add '-3' to each side of the equation. 3 + -3 + 3r = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3r = 24 + -3 3r = 24 + -3 Combine like terms: 24 + -3 = 21 3r = 21 Divide each side by '3'. r = 7 Simplifying r = 7
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