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