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Simplifying 6 + 4(3 + -2n) = -4n + 14 6 + (3 * 4 + -2n * 4) = -4n + 14 6 + (12 + -8n) = -4n + 14 Combine like terms: 6 + 12 = 18 18 + -8n = -4n + 14 Reorder the terms: 18 + -8n = 14 + -4n Solving 18 + -8n = 14 + -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. 18 + -8n + 4n = 14 + -4n + 4n Combine like terms: -8n + 4n = -4n 18 + -4n = 14 + -4n + 4n Combine like terms: -4n + 4n = 0 18 + -4n = 14 + 0 18 + -4n = 14 Add '-18' to each side of the equation. 18 + -18 + -4n = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -4n = 14 + -18 -4n = 14 + -18 Combine like terms: 14 + -18 = -4 -4n = -4 Divide each side by '-4'. n = 1 Simplifying n = 1
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