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Simplifying 6(4 + -3n) = 5n + -183 (4 * 6 + -3n * 6) = 5n + -183 (24 + -18n) = 5n + -183 Reorder the terms: 24 + -18n = -183 + 5n Solving 24 + -18n = -183 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 24 + -18n + -5n = -183 + 5n + -5n Combine like terms: -18n + -5n = -23n 24 + -23n = -183 + 5n + -5n Combine like terms: 5n + -5n = 0 24 + -23n = -183 + 0 24 + -23n = -183 Add '-24' to each side of the equation. 24 + -24 + -23n = -183 + -24 Combine like terms: 24 + -24 = 0 0 + -23n = -183 + -24 -23n = -183 + -24 Combine like terms: -183 + -24 = -207 -23n = -207 Divide each side by '-23'. n = 9 Simplifying n = 9
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