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Simplifying -40 + -8n = -8n + 5(8 + -8n) -40 + -8n = -8n + (8 * 5 + -8n * 5) -40 + -8n = -8n + (40 + -40n) Reorder the terms: -40 + -8n = 40 + -8n + -40n Combine like terms: -8n + -40n = -48n -40 + -8n = 40 + -48n Solving -40 + -8n = 40 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -40 + -8n + 48n = 40 + -48n + 48n Combine like terms: -8n + 48n = 40n -40 + 40n = 40 + -48n + 48n Combine like terms: -48n + 48n = 0 -40 + 40n = 40 + 0 -40 + 40n = 40 Add '40' to each side of the equation. -40 + 40 + 40n = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 40n = 40 + 40 40n = 40 + 40 Combine like terms: 40 + 40 = 80 40n = 80 Divide each side by '40'. n = 2 Simplifying n = 2
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