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Simplifying -1(5n + 8) = 40 + 3n Reorder the terms: -1(8 + 5n) = 40 + 3n (8 * -1 + 5n * -1) = 40 + 3n (-8 + -5n) = 40 + 3n Solving -8 + -5n = 40 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -8 + -5n + -3n = 40 + 3n + -3n Combine like terms: -5n + -3n = -8n -8 + -8n = 40 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + -8n = 40 + 0 -8 + -8n = 40 Add '8' to each side of the equation. -8 + 8 + -8n = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -8n = 40 + 8 -8n = 40 + 8 Combine like terms: 40 + 8 = 48 -8n = 48 Divide each side by '-8'. n = -6 Simplifying n = -6
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