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Simplifying 4[3 + n] = [4 * 3] + [4 * 2] [3 * 4 + n * 4] = [4 * 3] + [4 * 2] [12 + 4n] = [4 * 3] + [4 * 2] Multiply 4 * 3 12 + 4n = [12] + [4 * 2] 12 + 4n = 12 + [4 * 2] Multiply 4 * 2 12 + 4n = 12 + [8] 12 + 4n = 12 + 8 Combine like terms: 12 + 8 = 20 12 + 4n = 20 Solving 12 + 4n = 20 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4n = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = 20 + -12 4n = 20 + -12 Combine like terms: 20 + -12 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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