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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 = 5 -10n = 5 Divide each side by '-10'. n = -0.5 Simplifying n = -0.5
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