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Simplifying 5(5n + -2) + -14n = -3n + -1(5 + -4n) Reorder the terms: 5(-2 + 5n) + -14n = -3n + -1(5 + -4n) (-2 * 5 + 5n * 5) + -14n = -3n + -1(5 + -4n) (-10 + 25n) + -14n = -3n + -1(5 + -4n) Combine like terms: 25n + -14n = 11n -10 + 11n = -3n + -1(5 + -4n) -10 + 11n = -3n + (5 * -1 + -4n * -1) -10 + 11n = -3n + (-5 + 4n) Reorder the terms: -10 + 11n = -5 + -3n + 4n Combine like terms: -3n + 4n = 1n -10 + 11n = -5 + 1n Solving -10 + 11n = -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 + 11n + -1n = -5 + 1n + -1n Combine like terms: 11n + -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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