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Simplifying 33 + 8p = 7(p + 5) Reorder the terms: 33 + 8p = 7(5 + p) 33 + 8p = (5 * 7 + p * 7) 33 + 8p = (35 + 7p) Solving 33 + 8p = 35 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 33 + 8p + -7p = 35 + 7p + -7p Combine like terms: 8p + -7p = 1p 33 + 1p = 35 + 7p + -7p Combine like terms: 7p + -7p = 0 33 + 1p = 35 + 0 33 + 1p = 35 Add '-33' to each side of the equation. 33 + -33 + 1p = 35 + -33 Combine like terms: 33 + -33 = 0 0 + 1p = 35 + -33 1p = 35 + -33 Combine like terms: 35 + -33 = 2 1p = 2 Divide each side by '1'. p = 2 Simplifying p = 2
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