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Simplifying 4(6 + n) = (4 * 6) + (4 * 8) (6 * 4 + n * 4) = (4 * 6) + (4 * 8) (24 + 4n) = (4 * 6) + (4 * 8) Multiply 4 * 6 24 + 4n = (24) + (4 * 8) 24 + 4n = 24 + (4 * 8) Multiply 4 * 8 24 + 4n = 24 + (32) 24 + 4n = 24 + 32 Combine like terms: 24 + 32 = 56 24 + 4n = 56 Solving 24 + 4n = 56 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4n = 56 + -24 Combine like terms: 24 + -24 = 0 0 + 4n = 56 + -24 4n = 56 + -24 Combine like terms: 56 + -24 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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