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Simplifying 4(2 + n) = -2(1 + 5n) (2 * 4 + n * 4) = -2(1 + 5n) (8 + 4n) = -2(1 + 5n) 8 + 4n = (1 * -2 + 5n * -2) 8 + 4n = (-2 + -10n) Solving 8 + 4n = -2 + -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. 8 + 4n + 10n = -2 + -10n + 10n Combine like terms: 4n + 10n = 14n 8 + 14n = -2 + -10n + 10n Combine like terms: -10n + 10n = 0 8 + 14n = -2 + 0 8 + 14n = -2 Add '-8' to each side of the equation. 8 + -8 + 14n = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 14n = -2 + -8 14n = -2 + -8 Combine like terms: -2 + -8 = -10 14n = -10 Divide each side by '14'. n = -0.7142857143 Simplifying n = -0.7142857143
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