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Simplifying 5(n + -2) + -14 = -3n + -1(5 + -4n) Reorder the terms: 5(-2 + n) + -14 = -3n + -1(5 + -4n) (-2 * 5 + n * 5) + -14 = -3n + -1(5 + -4n) (-10 + 5n) + -14 = -3n + -1(5 + -4n) Reorder the terms: -10 + -14 + 5n = -3n + -1(5 + -4n) Combine like terms: -10 + -14 = -24 -24 + 5n = -3n + -1(5 + -4n) -24 + 5n = -3n + (5 * -1 + -4n * -1) -24 + 5n = -3n + (-5 + 4n) Reorder the terms: -24 + 5n = -5 + -3n + 4n Combine like terms: -3n + 4n = 1n -24 + 5n = -5 + 1n Solving -24 + 5n = -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. -24 + 5n + -1n = -5 + 1n + -1n Combine like terms: 5n + -1n = 4n -24 + 4n = -5 + 1n + -1n Combine like terms: 1n + -1n = 0 -24 + 4n = -5 + 0 -24 + 4n = -5 Add '24' to each side of the equation. -24 + 24 + 4n = -5 + 24 Combine like terms: -24 + 24 = 0 0 + 4n = -5 + 24 4n = -5 + 24 Combine like terms: -5 + 24 = 19 4n = 19 Divide each side by '4'. n = 4.75 Simplifying n = 4.75
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