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Simplifying 46 = 4(n + 4) Reorder the terms: 46 = 4(4 + n) 46 = (4 * 4 + n * 4) 46 = (16 + 4n) Solving 46 = 16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 46 + -4n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 46 + -4n = 16 + 0 46 + -4n = 16 Add '-46' to each side of the equation. 46 + -46 + -4n = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -4n = 16 + -46 -4n = 16 + -46 Combine like terms: 16 + -46 = -30 -4n = -30 Divide each side by '-4'. n = 7.5 Simplifying n = 7.5
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