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Simplifying 35p + 3p + 2p + -35p + 6 = 46 Reorder the terms: 6 + 35p + 3p + 2p + -35p = 46 Combine like terms: 35p + 3p = 38p 6 + 38p + 2p + -35p = 46 Combine like terms: 38p + 2p = 40p 6 + 40p + -35p = 46 Combine like terms: 40p + -35p = 5p 6 + 5p = 46 Solving 6 + 5p = 46 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5p = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 5p = 46 + -6 5p = 46 + -6 Combine like terms: 46 + -6 = 40 5p = 40 Divide each side by '5'. p = 8 Simplifying p = 8
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