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Simplifying 40 + 8n = -6(3n + 5) Reorder the terms: 40 + 8n = -6(5 + 3n) 40 + 8n = (5 * -6 + 3n * -6) 40 + 8n = (-30 + -18n) Solving 40 + 8n = -30 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 40 + 8n + 18n = -30 + -18n + 18n Combine like terms: 8n + 18n = 26n 40 + 26n = -30 + -18n + 18n Combine like terms: -18n + 18n = 0 40 + 26n = -30 + 0 40 + 26n = -30 Add '-40' to each side of the equation. 40 + -40 + 26n = -30 + -40 Combine like terms: 40 + -40 = 0 0 + 26n = -30 + -40 26n = -30 + -40 Combine like terms: -30 + -40 = -70 26n = -70 Divide each side by '26'. n = -2.692307692 Simplifying n = -2.692307692
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