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Simplifying 3(r + 6) = 2r + -24 Reorder the terms: 3(6 + r) = 2r + -24 (6 * 3 + r * 3) = 2r + -24 (18 + 3r) = 2r + -24 Reorder the terms: 18 + 3r = -24 + 2r Solving 18 + 3r = -24 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 18 + 3r + -2r = -24 + 2r + -2r Combine like terms: 3r + -2r = 1r 18 + 1r = -24 + 2r + -2r Combine like terms: 2r + -2r = 0 18 + 1r = -24 + 0 18 + 1r = -24 Add '-18' to each side of the equation. 18 + -18 + 1r = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 1r = -24 + -18 1r = -24 + -18 Combine like terms: -24 + -18 = -42 1r = -42 Divide each side by '1'. r = -42 Simplifying r = -42
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