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Simplifying 1628 = 22(p + 20) Reorder the terms: 1628 = 22(20 + p) 1628 = (20 * 22 + p * 22) 1628 = (440 + 22p) Solving 1628 = 440 + 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. 1628 + -22p = 440 + 22p + -22p Combine like terms: 22p + -22p = 0 1628 + -22p = 440 + 0 1628 + -22p = 440 Add '-1628' to each side of the equation. 1628 + -1628 + -22p = 440 + -1628 Combine like terms: 1628 + -1628 = 0 0 + -22p = 440 + -1628 -22p = 440 + -1628 Combine like terms: 440 + -1628 = -1188 -22p = -1188 Divide each side by '-22'. p = 54 Simplifying p = 54
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