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Simplifying 4n = 2(n + 1) + -6(n + 3) Reorder the terms: 4n = 2(1 + n) + -6(n + 3) 4n = (1 * 2 + n * 2) + -6(n + 3) 4n = (2 + 2n) + -6(n + 3) Reorder the terms: 4n = 2 + 2n + -6(3 + n) 4n = 2 + 2n + (3 * -6 + n * -6) 4n = 2 + 2n + (-18 + -6n) Reorder the terms: 4n = 2 + -18 + 2n + -6n Combine like terms: 2 + -18 = -16 4n = -16 + 2n + -6n Combine like terms: 2n + -6n = -4n 4n = -16 + -4n Solving 4n = -16 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4n + 4n = -16 + -4n + 4n Combine like terms: 4n + 4n = 8n 8n = -16 + -4n + 4n Combine like terms: -4n + 4n = 0 8n = -16 + 0 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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