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Simplifying 40 + 6n = 8n + -8(n + -2) Reorder the terms: 40 + 6n = 8n + -8(-2 + n) 40 + 6n = 8n + (-2 * -8 + n * -8) 40 + 6n = 8n + (16 + -8n) Reorder the terms: 40 + 6n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 40 + 6n = 16 + 0 40 + 6n = 16 Solving 40 + 6n = 16 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 6n = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 6n = 16 + -40 6n = 16 + -40 Combine like terms: 16 + -40 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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