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Simplifying 1364 = 22(p + 15) Reorder the terms: 1364 = 22(15 + p) 1364 = (15 * 22 + p * 22) 1364 = (330 + 22p) Solving 1364 = 330 + 22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22p' to each side of the equation. 1364 + -22p = 330 + 22p + -22p Combine like terms: 22p + -22p = 0 1364 + -22p = 330 + 0 1364 + -22p = 330 Add '-1364' to each side of the equation. 1364 + -1364 + -22p = 330 + -1364 Combine like terms: 1364 + -1364 = 0 0 + -22p = 330 + -1364 -22p = 330 + -1364 Combine like terms: 330 + -1364 = -1034 -22p = -1034 Divide each side by '-22'. p = 47 Simplifying p = 47
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