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Simplifying 4(3 + -2n) = 14 + -4(n + 2) (3 * 4 + -2n * 4) = 14 + -4(n + 2) (12 + -8n) = 14 + -4(n + 2) Reorder the terms: 12 + -8n = 14 + -4(2 + n) 12 + -8n = 14 + (2 * -4 + n * -4) 12 + -8n = 14 + (-8 + -4n) Combine like terms: 14 + -8 = 6 12 + -8n = 6 + -4n Solving 12 + -8n = 6 + -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. 12 + -8n + 4n = 6 + -4n + 4n Combine like terms: -8n + 4n = -4n 12 + -4n = 6 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + -4n = 6 + 0 12 + -4n = 6 Add '-12' to each side of the equation. 12 + -12 + -4n = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = 6 + -12 -4n = 6 + -12 Combine like terms: 6 + -12 = -6 -4n = -6 Divide each side by '-4'. n = 1.5 Simplifying n = 1.5
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