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Simplifying -2(n + 3) = -4(2n + 9) Reorder the terms: -2(3 + n) = -4(2n + 9) (3 * -2 + n * -2) = -4(2n + 9) (-6 + -2n) = -4(2n + 9) Reorder the terms: -6 + -2n = -4(9 + 2n) -6 + -2n = (9 * -4 + 2n * -4) -6 + -2n = (-36 + -8n) Solving -6 + -2n = -36 + -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. -6 + -2n + 8n = -36 + -8n + 8n Combine like terms: -2n + 8n = 6n -6 + 6n = -36 + -8n + 8n Combine like terms: -8n + 8n = 0 -6 + 6n = -36 + 0 -6 + 6n = -36 Add '6' to each side of the equation. -6 + 6 + 6n = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = -36 + 6 6n = -36 + 6 Combine like terms: -36 + 6 = -30 6n = -30 Divide each side by '6'. n = -5 Simplifying n = -5
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