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Simplifying -6(3 + -8r) + -6(r + -6) = -24 (3 * -6 + -8r * -6) + -6(r + -6) = -24 (-18 + 48r) + -6(r + -6) = -24 Reorder the terms: -18 + 48r + -6(-6 + r) = -24 -18 + 48r + (-6 * -6 + r * -6) = -24 -18 + 48r + (36 + -6r) = -24 Reorder the terms: -18 + 36 + 48r + -6r = -24 Combine like terms: -18 + 36 = 18 18 + 48r + -6r = -24 Combine like terms: 48r + -6r = 42r 18 + 42r = -24 Solving 18 + 42r = -24 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 42r = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 42r = -24 + -18 42r = -24 + -18 Combine like terms: -24 + -18 = -42 42r = -42 Divide each side by '42'. r = -1 Simplifying r = -1
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