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Simplifying 44 = 5(2 + -8n) + 6(5n + -6) 44 = (2 * 5 + -8n * 5) + 6(5n + -6) 44 = (10 + -40n) + 6(5n + -6) Reorder the terms: 44 = 10 + -40n + 6(-6 + 5n) 44 = 10 + -40n + (-6 * 6 + 5n * 6) 44 = 10 + -40n + (-36 + 30n) Reorder the terms: 44 = 10 + -36 + -40n + 30n Combine like terms: 10 + -36 = -26 44 = -26 + -40n + 30n Combine like terms: -40n + 30n = -10n 44 = -26 + -10n Solving 44 = -26 + -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 + 10n = -26 + -10n + 10n Combine like terms: -10n + 10n = 0 44 + 10n = -26 + 0 44 + 10n = -26 Add '-44' to each side of the equation. 44 + -44 + 10n = -26 + -44 Combine like terms: 44 + -44 = 0 0 + 10n = -26 + -44 10n = -26 + -44 Combine like terms: -26 + -44 = -70 10n = -70 Divide each side by '10'. n = -7 Simplifying n = -7
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