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Simplifying 5(3n + 8) = -40 + 5n Reorder the terms: 5(8 + 3n) = -40 + 5n (8 * 5 + 3n * 5) = -40 + 5n (40 + 15n) = -40 + 5n Solving 40 + 15n = -40 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 40 + 15n + -5n = -40 + 5n + -5n Combine like terms: 15n + -5n = 10n 40 + 10n = -40 + 5n + -5n Combine like terms: 5n + -5n = 0 40 + 10n = -40 + 0 40 + 10n = -40 Add '-40' to each side of the equation. 40 + -40 + 10n = -40 + -40 Combine like terms: 40 + -40 = 0 0 + 10n = -40 + -40 10n = -40 + -40 Combine like terms: -40 + -40 = -80 10n = -80 Divide each side by '10'. n = -8 Simplifying n = -8
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