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Simplifying 946 = 22(p + 15) Reorder the terms: 946 = 22(15 + p) 946 = (15 * 22 + p * 22) 946 = (330 + 22p) Solving 946 = 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. 946 + -22p = 330 + 22p + -22p Combine like terms: 22p + -22p = 0 946 + -22p = 330 + 0 946 + -22p = 330 Add '-946' to each side of the equation. 946 + -946 + -22p = 330 + -946 Combine like terms: 946 + -946 = 0 0 + -22p = 330 + -946 -22p = 330 + -946 Combine like terms: 330 + -946 = -616 -22p = -616 Divide each side by '-22'. p = 28 Simplifying p = 28
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