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Simplifying 5(2n + 8) = 10(n + 3) + -40n Reorder the terms: 5(8 + 2n) = 10(n + 3) + -40n (8 * 5 + 2n * 5) = 10(n + 3) + -40n (40 + 10n) = 10(n + 3) + -40n Reorder the terms: 40 + 10n = 10(3 + n) + -40n 40 + 10n = (3 * 10 + n * 10) + -40n 40 + 10n = (30 + 10n) + -40n Combine like terms: 10n + -40n = -30n 40 + 10n = 30 + -30n Solving 40 + 10n = 30 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 40 + 10n + 30n = 30 + -30n + 30n Combine like terms: 10n + 30n = 40n 40 + 40n = 30 + -30n + 30n Combine like terms: -30n + 30n = 0 40 + 40n = 30 + 0 40 + 40n = 30 Add '-40' to each side of the equation. 40 + -40 + 40n = 30 + -40 Combine like terms: 40 + -40 = 0 0 + 40n = 30 + -40 40n = 30 + -40 Combine like terms: 30 + -40 = -10 40n = -10 Divide each side by '40'. n = -0.25 Simplifying n = -0.25
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