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Simplifying 7(4 + 8) = (n * 4) + (n * 8) Combine like terms: 4 + 8 = 12 7(12) = (n * 4) + (n * 8) Multiply 7 * 12 84 = (n * 4) + (n * 8) Reorder the terms for easier multiplication: 84 = (4n) + (n * 8) Reorder the terms for easier multiplication: 84 = (4n) + (8n) Combine like terms: (4n) + (8n) = 12n 84 = 12n Solving 84 = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 84 + -12n = 12n + -12n Combine like terms: 12n + -12n = 0 84 + -12n = 0 Add '-84' to each side of the equation. 84 + -84 + -12n = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -12n = 0 + -84 -12n = 0 + -84 Combine like terms: 0 + -84 = -84 -12n = -84 Divide each side by '-12'. n = 7 Simplifying n = 7
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