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Simplifying 4(2n + 3) = 6n + -12 + -1n Reorder the terms: 4(3 + 2n) = 6n + -12 + -1n (3 * 4 + 2n * 4) = 6n + -12 + -1n (12 + 8n) = 6n + -12 + -1n Reorder the terms: 12 + 8n = -12 + 6n + -1n Combine like terms: 6n + -1n = 5n 12 + 8n = -12 + 5n Solving 12 + 8n = -12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 12 + 8n + -5n = -12 + 5n + -5n Combine like terms: 8n + -5n = 3n 12 + 3n = -12 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + 3n = -12 + 0 12 + 3n = -12 Add '-12' to each side of the equation. 12 + -12 + 3n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = -12 + -12 3n = -12 + -12 Combine like terms: -12 + -12 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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