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Simplifying 2688 = 42(p + 30) Reorder the terms: 2688 = 42(30 + p) 2688 = (30 * 42 + p * 42) 2688 = (1260 + 42p) Solving 2688 = 1260 + 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. 2688 + -42p = 1260 + 42p + -42p Combine like terms: 42p + -42p = 0 2688 + -42p = 1260 + 0 2688 + -42p = 1260 Add '-2688' to each side of the equation. 2688 + -2688 + -42p = 1260 + -2688 Combine like terms: 2688 + -2688 = 0 0 + -42p = 1260 + -2688 -42p = 1260 + -2688 Combine like terms: 1260 + -2688 = -1428 -42p = -1428 Divide each side by '-42'. p = 34 Simplifying p = 34
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