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Simplifying -8(-5n + -4) = -8(n + -4) + -5 Reorder the terms: -8(-4 + -5n) = -8(n + -4) + -5 (-4 * -8 + -5n * -8) = -8(n + -4) + -5 (32 + 40n) = -8(n + -4) + -5 Reorder the terms: 32 + 40n = -8(-4 + n) + -5 32 + 40n = (-4 * -8 + n * -8) + -5 32 + 40n = (32 + -8n) + -5 Reorder the terms: 32 + 40n = 32 + -5 + -8n Combine like terms: 32 + -5 = 27 32 + 40n = 27 + -8n Solving 32 + 40n = 27 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 32 + 40n + 8n = 27 + -8n + 8n Combine like terms: 40n + 8n = 48n 32 + 48n = 27 + -8n + 8n Combine like terms: -8n + 8n = 0 32 + 48n = 27 + 0 32 + 48n = 27 Add '-32' to each side of the equation. 32 + -32 + 48n = 27 + -32 Combine like terms: 32 + -32 = 0 0 + 48n = 27 + -32 48n = 27 + -32 Combine like terms: 27 + -32 = -5 48n = -5 Divide each side by '48'. n = -0.1041666667 Simplifying n = -0.1041666667
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