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Simplifying 40 + -8n = -5(2n + -6) Reorder the terms: 40 + -8n = -5(-6 + 2n) 40 + -8n = (-6 * -5 + 2n * -5) 40 + -8n = (30 + -10n) Solving 40 + -8n = 30 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 40 + -8n + 10n = 30 + -10n + 10n Combine like terms: -8n + 10n = 2n 40 + 2n = 30 + -10n + 10n Combine like terms: -10n + 10n = 0 40 + 2n = 30 + 0 40 + 2n = 30 Add '-40' to each side of the equation. 40 + -40 + 2n = 30 + -40 Combine like terms: 40 + -40 = 0 0 + 2n = 30 + -40 2n = 30 + -40 Combine like terms: 30 + -40 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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