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Simplifying -5(n + -9) + -1(1 + 4n) = -10n Reorder the terms: -5(-9 + n) + -1(1 + 4n) = -10n (-9 * -5 + n * -5) + -1(1 + 4n) = -10n (45 + -5n) + -1(1 + 4n) = -10n 45 + -5n + (1 * -1 + 4n * -1) = -10n 45 + -5n + (-1 + -4n) = -10n Reorder the terms: 45 + -1 + -5n + -4n = -10n Combine like terms: 45 + -1 = 44 44 + -5n + -4n = -10n Combine like terms: -5n + -4n = -9n 44 + -9n = -10n Solving 44 + -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. 44 + -9n + 10n = -10n + 10n Combine like terms: -9n + 10n = 1n 44 + 1n = -10n + 10n Combine like terms: -10n + 10n = 0 44 + 1n = 0 Add '-44' to each side of the equation. 44 + -44 + 1n = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 1n = 0 + -44 1n = 0 + -44 Combine like terms: 0 + -44 = -44 1n = -44 Divide each side by '1'. n = -44 Simplifying n = -44
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