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Simplifying -24 + -5n = 6(-3n + -1) + -5n Reorder the terms: -24 + -5n = 6(-1 + -3n) + -5n -24 + -5n = (-1 * 6 + -3n * 6) + -5n -24 + -5n = (-6 + -18n) + -5n Combine like terms: -18n + -5n = -23n -24 + -5n = -6 + -23n Solving -24 + -5n = -6 + -23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23n' to each side of the equation. -24 + -5n + 23n = -6 + -23n + 23n Combine like terms: -5n + 23n = 18n -24 + 18n = -6 + -23n + 23n Combine like terms: -23n + 23n = 0 -24 + 18n = -6 + 0 -24 + 18n = -6 Add '24' to each side of the equation. -24 + 24 + 18n = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 18n = -6 + 24 18n = -6 + 24 Combine like terms: -6 + 24 = 18 18n = 18 Divide each side by '18'. n = 1 Simplifying n = 1
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