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Simplifying -8(-5 + -4n) = -8(-5n + -6) (-5 * -8 + -4n * -8) = -8(-5n + -6) (40 + 32n) = -8(-5n + -6) Reorder the terms: 40 + 32n = -8(-6 + -5n) 40 + 32n = (-6 * -8 + -5n * -8) 40 + 32n = (48 + 40n) Solving 40 + 32n = 48 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 40 + 32n + -40n = 48 + 40n + -40n Combine like terms: 32n + -40n = -8n 40 + -8n = 48 + 40n + -40n Combine like terms: 40n + -40n = 0 40 + -8n = 48 + 0 40 + -8n = 48 Add '-40' to each side of the equation. 40 + -40 + -8n = 48 + -40 Combine like terms: 40 + -40 = 0 0 + -8n = 48 + -40 -8n = 48 + -40 Combine like terms: 48 + -40 = 8 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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