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Simplifying -4(n + -6) + -1(1 + 5n) = -10n Reorder the terms: -4(-6 + n) + -1(1 + 5n) = -10n (-6 * -4 + n * -4) + -1(1 + 5n) = -10n (24 + -4n) + -1(1 + 5n) = -10n 24 + -4n + (1 * -1 + 5n * -1) = -10n 24 + -4n + (-1 + -5n) = -10n Reorder the terms: 24 + -1 + -4n + -5n = -10n Combine like terms: 24 + -1 = 23 23 + -4n + -5n = -10n Combine like terms: -4n + -5n = -9n 23 + -9n = -10n Solving 23 + -9n = -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 23 + -9n + 10n = -10n + 10n Combine like terms: -9n + 10n = 1n 23 + 1n = -10n + 10n Combine like terms: -10n + 10n = 0 23 + 1n = 0 Add '-23' to each side of the equation. 23 + -23 + 1n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 1n = 0 + -23 1n = 0 + -23 Combine like terms: 0 + -23 = -23 1n = -23 Divide each side by '1'. n = -23 Simplifying n = -23
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