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Simplifying 40 + 8n = -3(-4n + -4) Reorder the terms: 40 + 8n = -3(-4 + -4n) 40 + 8n = (-4 * -3 + -4n * -3) 40 + 8n = (12 + 12n) Solving 40 + 8n = 12 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 40 + 8n + -12n = 12 + 12n + -12n Combine like terms: 8n + -12n = -4n 40 + -4n = 12 + 12n + -12n Combine like terms: 12n + -12n = 0 40 + -4n = 12 + 0 40 + -4n = 12 Add '-40' to each side of the equation. 40 + -40 + -4n = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -4n = 12 + -40 -4n = 12 + -40 Combine like terms: 12 + -40 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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