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Simplifying -4(-3n + -6) + 3 = -24 + -5n Reorder the terms: -4(-6 + -3n) + 3 = -24 + -5n (-6 * -4 + -3n * -4) + 3 = -24 + -5n (24 + 12n) + 3 = -24 + -5n Reorder the terms: 24 + 3 + 12n = -24 + -5n Combine like terms: 24 + 3 = 27 27 + 12n = -24 + -5n Solving 27 + 12n = -24 + -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. 27 + 12n + 5n = -24 + -5n + 5n Combine like terms: 12n + 5n = 17n 27 + 17n = -24 + -5n + 5n Combine like terms: -5n + 5n = 0 27 + 17n = -24 + 0 27 + 17n = -24 Add '-27' to each side of the equation. 27 + -27 + 17n = -24 + -27 Combine like terms: 27 + -27 = 0 0 + 17n = -24 + -27 17n = -24 + -27 Combine like terms: -24 + -27 = -51 17n = -51 Divide each side by '17'. n = -3 Simplifying n = -3
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