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Simplifying 19 + -4n = -1(3n + 6) + -6n Reorder the terms: 19 + -4n = -1(6 + 3n) + -6n 19 + -4n = (6 * -1 + 3n * -1) + -6n 19 + -4n = (-6 + -3n) + -6n Combine like terms: -3n + -6n = -9n 19 + -4n = -6 + -9n Solving 19 + -4n = -6 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 19 + -4n + 9n = -6 + -9n + 9n Combine like terms: -4n + 9n = 5n 19 + 5n = -6 + -9n + 9n Combine like terms: -9n + 9n = 0 19 + 5n = -6 + 0 19 + 5n = -6 Add '-19' to each side of the equation. 19 + -19 + 5n = -6 + -19 Combine like terms: 19 + -19 = 0 0 + 5n = -6 + -19 5n = -6 + -19 Combine like terms: -6 + -19 = -25 5n = -25 Divide each side by '5'. n = -5 Simplifying n = -5
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