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Simplifying 5(2n + 6) = 10(n + 2) + -40n Reorder the terms: 5(6 + 2n) = 10(n + 2) + -40n (6 * 5 + 2n * 5) = 10(n + 2) + -40n (30 + 10n) = 10(n + 2) + -40n Reorder the terms: 30 + 10n = 10(2 + n) + -40n 30 + 10n = (2 * 10 + n * 10) + -40n 30 + 10n = (20 + 10n) + -40n Combine like terms: 10n + -40n = -30n 30 + 10n = 20 + -30n Solving 30 + 10n = 20 + -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. 30 + 10n + 30n = 20 + -30n + 30n Combine like terms: 10n + 30n = 40n 30 + 40n = 20 + -30n + 30n Combine like terms: -30n + 30n = 0 30 + 40n = 20 + 0 30 + 40n = 20 Add '-30' to each side of the equation. 30 + -30 + 40n = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 40n = 20 + -30 40n = 20 + -30 Combine like terms: 20 + -30 = -10 40n = -10 Divide each side by '40'. n = -0.25 Simplifying n = -0.25
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