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Simplifying 4(7n + -5) = 8n + -40 Reorder the terms: 4(-5 + 7n) = 8n + -40 (-5 * 4 + 7n * 4) = 8n + -40 (-20 + 28n) = 8n + -40 Reorder the terms: -20 + 28n = -40 + 8n Solving -20 + 28n = -40 + 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. -20 + 28n + -8n = -40 + 8n + -8n Combine like terms: 28n + -8n = 20n -20 + 20n = -40 + 8n + -8n Combine like terms: 8n + -8n = 0 -20 + 20n = -40 + 0 -20 + 20n = -40 Add '20' to each side of the equation. -20 + 20 + 20n = -40 + 20 Combine like terms: -20 + 20 = 0 0 + 20n = -40 + 20 20n = -40 + 20 Combine like terms: -40 + 20 = -20 20n = -20 Divide each side by '20'. n = -1 Simplifying n = -1
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