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Simplifying 3(r + 8) = 6 + -3r Reorder the terms: 3(8 + r) = 6 + -3r (8 * 3 + r * 3) = 6 + -3r (24 + 3r) = 6 + -3r Solving 24 + 3r = 6 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 24 + 3r + 3r = 6 + -3r + 3r Combine like terms: 3r + 3r = 6r 24 + 6r = 6 + -3r + 3r Combine like terms: -3r + 3r = 0 24 + 6r = 6 + 0 24 + 6r = 6 Add '-24' to each side of the equation. 24 + -24 + 6r = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 6r = 6 + -24 6r = 6 + -24 Combine like terms: 6 + -24 = -18 6r = -18 Divide each side by '6'. r = -3 Simplifying r = -3
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