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Simplifying -4(n + 6) = 3 + -3n Reorder the terms: -4(6 + n) = 3 + -3n (6 * -4 + n * -4) = 3 + -3n (-24 + -4n) = 3 + -3n Solving -24 + -4n = 3 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -24 + -4n + 3n = 3 + -3n + 3n Combine like terms: -4n + 3n = -1n -24 + -1n = 3 + -3n + 3n Combine like terms: -3n + 3n = 0 -24 + -1n = 3 + 0 -24 + -1n = 3 Add '24' to each side of the equation. -24 + 24 + -1n = 3 + 24 Combine like terms: -24 + 24 = 0 0 + -1n = 3 + 24 -1n = 3 + 24 Combine like terms: 3 + 24 = 27 -1n = 27 Divide each side by '-1'. n = -27 Simplifying n = -27
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