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Simplifying 3(3r + -6) = -24 + 3r Reorder the terms: 3(-6 + 3r) = -24 + 3r (-6 * 3 + 3r * 3) = -24 + 3r (-18 + 9r) = -24 + 3r Solving -18 + 9r = -24 + 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. -18 + 9r + -3r = -24 + 3r + -3r Combine like terms: 9r + -3r = 6r -18 + 6r = -24 + 3r + -3r Combine like terms: 3r + -3r = 0 -18 + 6r = -24 + 0 -18 + 6r = -24 Add '18' to each side of the equation. -18 + 18 + 6r = -24 + 18 Combine like terms: -18 + 18 = 0 0 + 6r = -24 + 18 6r = -24 + 18 Combine like terms: -24 + 18 = -6 6r = -6 Divide each side by '6'. r = -1 Simplifying r = -1
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