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Simplifying 52 = 4(n + 6) Reorder the terms: 52 = 4(6 + n) 52 = (6 * 4 + n * 4) 52 = (24 + 4n) Solving 52 = 24 + 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. 52 + -4n = 24 + 4n + -4n Combine like terms: 4n + -4n = 0 52 + -4n = 24 + 0 52 + -4n = 24 Add '-52' to each side of the equation. 52 + -52 + -4n = 24 + -52 Combine like terms: 52 + -52 = 0 0 + -4n = 24 + -52 -4n = 24 + -52 Combine like terms: 24 + -52 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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