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Simplifying -1(2n + 6) = 2(-4n + 3) Reorder the terms: -1(6 + 2n) = 2(-4n + 3) (6 * -1 + 2n * -1) = 2(-4n + 3) (-6 + -2n) = 2(-4n + 3) Reorder the terms: -6 + -2n = 2(3 + -4n) -6 + -2n = (3 * 2 + -4n * 2) -6 + -2n = (6 + -8n) Solving -6 + -2n = 6 + -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 = 6 + -8n + 8n Combine like terms: -2n + 8n = 6n -6 + 6n = 6 + -8n + 8n Combine like terms: -8n + 8n = 0 -6 + 6n = 6 + 0 -6 + 6n = 6 Add '6' to each side of the equation. -6 + 6 + 6n = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = 6 + 6 6n = 6 + 6 Combine like terms: 6 + 6 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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