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Simplifying 10(1 + 2n) = 10n + -40 (1 * 10 + 2n * 10) = 10n + -40 (10 + 20n) = 10n + -40 Reorder the terms: 10 + 20n = -40 + 10n Solving 10 + 20n = -40 + 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. 10 + 20n + -10n = -40 + 10n + -10n Combine like terms: 20n + -10n = 10n 10 + 10n = -40 + 10n + -10n Combine like terms: 10n + -10n = 0 10 + 10n = -40 + 0 10 + 10n = -40 Add '-10' to each side of the equation. 10 + -10 + 10n = -40 + -10 Combine like terms: 10 + -10 = 0 0 + 10n = -40 + -10 10n = -40 + -10 Combine like terms: -40 + -10 = -50 10n = -50 Divide each side by '10'. n = -5 Simplifying n = -5
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