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Simplifying 5(8 + -2n) = 4n + -2 (8 * 5 + -2n * 5) = 4n + -2 (40 + -10n) = 4n + -2 Reorder the terms: 40 + -10n = -2 + 4n Solving 40 + -10n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 40 + -10n + -4n = -2 + 4n + -4n Combine like terms: -10n + -4n = -14n 40 + -14n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 40 + -14n = -2 + 0 40 + -14n = -2 Add '-40' to each side of the equation. 40 + -40 + -14n = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -14n = -2 + -40 -14n = -2 + -40 Combine like terms: -2 + -40 = -42 -14n = -42 Divide each side by '-14'. n = 3 Simplifying n = 3
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