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Simplifying 2(p + -3) + 3(p + 4) = 46 Reorder the terms: 2(-3 + p) + 3(p + 4) = 46 (-3 * 2 + p * 2) + 3(p + 4) = 46 (-6 + 2p) + 3(p + 4) = 46 Reorder the terms: -6 + 2p + 3(4 + p) = 46 -6 + 2p + (4 * 3 + p * 3) = 46 -6 + 2p + (12 + 3p) = 46 Reorder the terms: -6 + 12 + 2p + 3p = 46 Combine like terms: -6 + 12 = 6 6 + 2p + 3p = 46 Combine like terms: 2p + 3p = 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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