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Simplifying -2(-8 + 5n) + 2n = -40 (-8 * -2 + 5n * -2) + 2n = -40 (16 + -10n) + 2n = -40 Combine like terms: -10n + 2n = -8n 16 + -8n = -40 Solving 16 + -8n = -40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -8n = -40 + -16 Combine like terms: 16 + -16 = 0 0 + -8n = -40 + -16 -8n = -40 + -16 Combine like terms: -40 + -16 = -56 -8n = -56 Divide each side by '-8'. n = 7 Simplifying n = 7
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