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Simplifying -4(4 + n) + 2 = -2 + -6n (4 * -4 + n * -4) + 2 = -2 + -6n (-16 + -4n) + 2 = -2 + -6n Reorder the terms: -16 + 2 + -4n = -2 + -6n Combine like terms: -16 + 2 = -14 -14 + -4n = -2 + -6n Solving -14 + -4n = -2 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -14 + -4n + 6n = -2 + -6n + 6n Combine like terms: -4n + 6n = 2n -14 + 2n = -2 + -6n + 6n Combine like terms: -6n + 6n = 0 -14 + 2n = -2 + 0 -14 + 2n = -2 Add '14' to each side of the equation. -14 + 14 + 2n = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 2n = -2 + 14 2n = -2 + 14 Combine like terms: -2 + 14 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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