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Simplifying -40 + -8n = -6(6n + -2) + 4 Reorder the terms: -40 + -8n = -6(-2 + 6n) + 4 -40 + -8n = (-2 * -6 + 6n * -6) + 4 -40 + -8n = (12 + -36n) + 4 Reorder the terms: -40 + -8n = 12 + 4 + -36n Combine like terms: 12 + 4 = 16 -40 + -8n = 16 + -36n Solving -40 + -8n = 16 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -40 + -8n + 36n = 16 + -36n + 36n Combine like terms: -8n + 36n = 28n -40 + 28n = 16 + -36n + 36n Combine like terms: -36n + 36n = 0 -40 + 28n = 16 + 0 -40 + 28n = 16 Add '40' to each side of the equation. -40 + 40 + 28n = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 28n = 16 + 40 28n = 16 + 40 Combine like terms: 16 + 40 = 56 28n = 56 Divide each side by '28'. n = 2 Simplifying n = 2
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