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Simplifying -7(4 + -8n) + -2n = -406 (4 * -7 + -8n * -7) + -2n = -406 (-28 + 56n) + -2n = -406 Combine like terms: 56n + -2n = 54n -28 + 54n = -406 Solving -28 + 54n = -406 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 54n = -406 + 28 Combine like terms: -28 + 28 = 0 0 + 54n = -406 + 28 54n = -406 + 28 Combine like terms: -406 + 28 = -378 54n = -378 Divide each side by '54'. n = -7 Simplifying n = -7
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