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Simplifying 5(2n + 6) = -4(-5 + -2n) + 3n Reorder the terms: 5(6 + 2n) = -4(-5 + -2n) + 3n (6 * 5 + 2n * 5) = -4(-5 + -2n) + 3n (30 + 10n) = -4(-5 + -2n) + 3n 30 + 10n = (-5 * -4 + -2n * -4) + 3n 30 + 10n = (20 + 8n) + 3n Combine like terms: 8n + 3n = 11n 30 + 10n = 20 + 11n Solving 30 + 10n = 20 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 30 + 10n + -11n = 20 + 11n + -11n Combine like terms: 10n + -11n = -1n 30 + -1n = 20 + 11n + -11n Combine like terms: 11n + -11n = 0 30 + -1n = 20 + 0 30 + -1n = 20 Add '-30' to each side of the equation. 30 + -30 + -1n = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -1n = 20 + -30 -1n = 20 + -30 Combine like terms: 20 + -30 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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