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Simplifying 4n + -5(n + -2) = 19 Reorder the terms: 4n + -5(-2 + n) = 19 4n + (-2 * -5 + n * -5) = 19 4n + (10 + -5n) = 19 Reorder the terms: 10 + 4n + -5n = 19 Combine like terms: 4n + -5n = -1n 10 + -1n = 19 Solving 10 + -1n = 19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1n = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 19 + -10 -1n = 19 + -10 Combine like terms: 19 + -10 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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