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Simplifying 6(-2n + -6) = -8n + -40 Reorder the terms: 6(-6 + -2n) = -8n + -40 (-6 * 6 + -2n * 6) = -8n + -40 (-36 + -12n) = -8n + -40 Reorder the terms: -36 + -12n = -40 + -8n Solving -36 + -12n = -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. -36 + -12n + 8n = -40 + -8n + 8n Combine like terms: -12n + 8n = -4n -36 + -4n = -40 + -8n + 8n Combine like terms: -8n + 8n = 0 -36 + -4n = -40 + 0 -36 + -4n = -40 Add '36' to each side of the equation. -36 + 36 + -4n = -40 + 36 Combine like terms: -36 + 36 = 0 0 + -4n = -40 + 36 -4n = -40 + 36 Combine like terms: -40 + 36 = -4 -4n = -4 Divide each side by '-4'. n = 1 Simplifying n = 1
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