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Simplifying -6(4n + -4) = 40 + -8n Reorder the terms: -6(-4 + 4n) = 40 + -8n (-4 * -6 + 4n * -6) = 40 + -8n (24 + -24n) = 40 + -8n Solving 24 + -24n = 40 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 24 + -24n + 8n = 40 + -8n + 8n Combine like terms: -24n + 8n = -16n 24 + -16n = 40 + -8n + 8n Combine like terms: -8n + 8n = 0 24 + -16n = 40 + 0 24 + -16n = 40 Add '-24' to each side of the equation. 24 + -24 + -16n = 40 + -24 Combine like terms: 24 + -24 = 0 0 + -16n = 40 + -24 -16n = 40 + -24 Combine like terms: 40 + -24 = 16 -16n = 16 Divide each side by '-16'. n = -1 Simplifying n = -1
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