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Simplifying 1680 = 42(p + 10) Reorder the terms: 1680 = 42(10 + p) 1680 = (10 * 42 + p * 42) 1680 = (420 + 42p) Solving 1680 = 420 + 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. 1680 + -42p = 420 + 42p + -42p Combine like terms: 42p + -42p = 0 1680 + -42p = 420 + 0 1680 + -42p = 420 Add '-1680' to each side of the equation. 1680 + -1680 + -42p = 420 + -1680 Combine like terms: 1680 + -1680 = 0 0 + -42p = 420 + -1680 -42p = 420 + -1680 Combine like terms: 420 + -1680 = -1260 -42p = -1260 Divide each side by '-42'. p = 30 Simplifying p = 30
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