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Simplifying -40 + -8n = -8n + 5(1 + -3n) -40 + -8n = -8n + (1 * 5 + -3n * 5) -40 + -8n = -8n + (5 + -15n) Reorder the terms: -40 + -8n = 5 + -8n + -15n Combine like terms: -8n + -15n = -23n -40 + -8n = 5 + -23n Solving -40 + -8n = 5 + -23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23n' to each side of the equation. -40 + -8n + 23n = 5 + -23n + 23n Combine like terms: -8n + 23n = 15n -40 + 15n = 5 + -23n + 23n Combine like terms: -23n + 23n = 0 -40 + 15n = 5 + 0 -40 + 15n = 5 Add '40' to each side of the equation. -40 + 40 + 15n = 5 + 40 Combine like terms: -40 + 40 = 0 0 + 15n = 5 + 40 15n = 5 + 40 Combine like terms: 5 + 40 = 45 15n = 45 Divide each side by '15'. n = 3 Simplifying n = 3
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