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Simplifying 14n + -2(3n + 4) = 12 + 2n + 16 Reorder the terms: 14n + -2(4 + 3n) = 12 + 2n + 16 14n + (4 * -2 + 3n * -2) = 12 + 2n + 16 14n + (-8 + -6n) = 12 + 2n + 16 Reorder the terms: -8 + 14n + -6n = 12 + 2n + 16 Combine like terms: 14n + -6n = 8n -8 + 8n = 12 + 2n + 16 Reorder the terms: -8 + 8n = 12 + 16 + 2n Combine like terms: 12 + 16 = 28 -8 + 8n = 28 + 2n Solving -8 + 8n = 28 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -8 + 8n + -2n = 28 + 2n + -2n Combine like terms: 8n + -2n = 6n -8 + 6n = 28 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 6n = 28 + 0 -8 + 6n = 28 Add '8' to each side of the equation. -8 + 8 + 6n = 28 + 8 Combine like terms: -8 + 8 = 0 0 + 6n = 28 + 8 6n = 28 + 8 Combine like terms: 28 + 8 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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