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Simplifying 2(4n + -8) = 19 + 3n Reorder the terms: 2(-8 + 4n) = 19 + 3n (-8 * 2 + 4n * 2) = 19 + 3n (-16 + 8n) = 19 + 3n Solving -16 + 8n = 19 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -16 + 8n + -3n = 19 + 3n + -3n Combine like terms: 8n + -3n = 5n -16 + 5n = 19 + 3n + -3n Combine like terms: 3n + -3n = 0 -16 + 5n = 19 + 0 -16 + 5n = 19 Add '16' to each side of the equation. -16 + 16 + 5n = 19 + 16 Combine like terms: -16 + 16 = 0 0 + 5n = 19 + 16 5n = 19 + 16 Combine like terms: 19 + 16 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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