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Simplifying 5(n + 2) + -14n = -3n + -1(5 + -4n) Reorder the terms: 5(2 + n) + -14n = -3n + -1(5 + -4n) (2 * 5 + n * 5) + -14n = -3n + -1(5 + -4n) (10 + 5n) + -14n = -3n + -1(5 + -4n) Combine like terms: 5n + -14n = -9n 10 + -9n = -3n + -1(5 + -4n) 10 + -9n = -3n + (5 * -1 + -4n * -1) 10 + -9n = -3n + (-5 + 4n) Reorder the terms: 10 + -9n = -5 + -3n + 4n Combine like terms: -3n + 4n = 1n 10 + -9n = -5 + 1n Solving 10 + -9n = -5 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 10 + -9n + -1n = -5 + 1n + -1n Combine like terms: -9n + -1n = -10n 10 + -10n = -5 + 1n + -1n Combine like terms: 1n + -1n = 0 10 + -10n = -5 + 0 10 + -10n = -5 Add '-10' to each side of the equation. 10 + -10 + -10n = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -10n = -5 + -10 -10n = -5 + -10 Combine like terms: -5 + -10 = -15 -10n = -15 Divide each side by '-10'. n = 1.5 Simplifying n = 1.5
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