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Simplifying 4(-1n + -4) = 14 + 2n Reorder the terms: 4(-4 + -1n) = 14 + 2n (-4 * 4 + -1n * 4) = 14 + 2n (-16 + -4n) = 14 + 2n Solving -16 + -4n = 14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -16 + -4n + -2n = 14 + 2n + -2n Combine like terms: -4n + -2n = -6n -16 + -6n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + -6n = 14 + 0 -16 + -6n = 14 Add '16' to each side of the equation. -16 + 16 + -6n = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -6n = 14 + 16 -6n = 14 + 16 Combine like terms: 14 + 16 = 30 -6n = 30 Divide each side by '-6'. n = -5 Simplifying n = -5
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