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Simplifying -5(1 + -2n) + 24 = 4(-2 + -1n) + -1 (1 * -5 + -2n * -5) + 24 = 4(-2 + -1n) + -1 (-5 + 10n) + 24 = 4(-2 + -1n) + -1 Reorder the terms: -5 + 24 + 10n = 4(-2 + -1n) + -1 Combine like terms: -5 + 24 = 19 19 + 10n = 4(-2 + -1n) + -1 19 + 10n = (-2 * 4 + -1n * 4) + -1 19 + 10n = (-8 + -4n) + -1 Reorder the terms: 19 + 10n = -8 + -1 + -4n Combine like terms: -8 + -1 = -9 19 + 10n = -9 + -4n Solving 19 + 10n = -9 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 19 + 10n + 4n = -9 + -4n + 4n Combine like terms: 10n + 4n = 14n 19 + 14n = -9 + -4n + 4n Combine like terms: -4n + 4n = 0 19 + 14n = -9 + 0 19 + 14n = -9 Add '-19' to each side of the equation. 19 + -19 + 14n = -9 + -19 Combine like terms: 19 + -19 = 0 0 + 14n = -9 + -19 14n = -9 + -19 Combine like terms: -9 + -19 = -28 14n = -28 Divide each side by '14'. n = -2 Simplifying n = -2
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