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Simplifying -4(2 + 2n) = 40 + 4n (2 * -4 + 2n * -4) = 40 + 4n (-8 + -8n) = 40 + 4n Solving -8 + -8n = 40 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -8 + -8n + -4n = 40 + 4n + -4n Combine like terms: -8n + -4n = -12n -8 + -12n = 40 + 4n + -4n Combine like terms: 4n + -4n = 0 -8 + -12n = 40 + 0 -8 + -12n = 40 Add '8' to each side of the equation. -8 + 8 + -12n = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -12n = 40 + 8 -12n = 40 + 8 Combine like terms: 40 + 8 = 48 -12n = 48 Divide each side by '-12'. n = -4 Simplifying n = -4
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