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Simplifying 4n + -5(n + -2) = 5n + -14 Reorder the terms: 4n + -5(-2 + n) = 5n + -14 4n + (-2 * -5 + n * -5) = 5n + -14 4n + (10 + -5n) = 5n + -14 Reorder the terms: 10 + 4n + -5n = 5n + -14 Combine like terms: 4n + -5n = -1n 10 + -1n = 5n + -14 Reorder the terms: 10 + -1n = -14 + 5n Solving 10 + -1n = -14 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 10 + -1n + -5n = -14 + 5n + -5n Combine like terms: -1n + -5n = -6n 10 + -6n = -14 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + -6n = -14 + 0 10 + -6n = -14 Add '-10' to each side of the equation. 10 + -10 + -6n = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6n = -14 + -10 -6n = -14 + -10 Combine like terms: -14 + -10 = -24 -6n = -24 Divide each side by '-6'. n = 4 Simplifying n = 4
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