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Simplifying 6 + -8(n + -5) = 6(-8n + 2) + -6 Reorder the terms: 6 + -8(-5 + n) = 6(-8n + 2) + -6 6 + (-5 * -8 + n * -8) = 6(-8n + 2) + -6 6 + (40 + -8n) = 6(-8n + 2) + -6 Combine like terms: 6 + 40 = 46 46 + -8n = 6(-8n + 2) + -6 Reorder the terms: 46 + -8n = 6(2 + -8n) + -6 46 + -8n = (2 * 6 + -8n * 6) + -6 46 + -8n = (12 + -48n) + -6 Reorder the terms: 46 + -8n = 12 + -6 + -48n Combine like terms: 12 + -6 = 6 46 + -8n = 6 + -48n Solving 46 + -8n = 6 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 46 + -8n + 48n = 6 + -48n + 48n Combine like terms: -8n + 48n = 40n 46 + 40n = 6 + -48n + 48n Combine like terms: -48n + 48n = 0 46 + 40n = 6 + 0 46 + 40n = 6 Add '-46' to each side of the equation. 46 + -46 + 40n = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 40n = 6 + -46 40n = 6 + -46 Combine like terms: 6 + -46 = -40 40n = -40 Divide each side by '40'. n = -1 Simplifying n = -1
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