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Simplifying -40 + -8n = 8(3 + -5n) -40 + -8n = (3 * 8 + -5n * 8) -40 + -8n = (24 + -40n) Solving -40 + -8n = 24 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -40 + -8n + 40n = 24 + -40n + 40n Combine like terms: -8n + 40n = 32n -40 + 32n = 24 + -40n + 40n Combine like terms: -40n + 40n = 0 -40 + 32n = 24 + 0 -40 + 32n = 24 Add '40' to each side of the equation. -40 + 40 + 32n = 24 + 40 Combine like terms: -40 + 40 = 0 0 + 32n = 24 + 40 32n = 24 + 40 Combine like terms: 24 + 40 = 64 32n = 64 Divide each side by '32'. n = 2 Simplifying n = 2
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