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Simplifying 5p + 12 = 2p + 40 Reorder the terms: 12 + 5p = 2p + 40 Reorder the terms: 12 + 5p = 40 + 2p Solving 12 + 5p = 40 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 12 + 5p + -2p = 40 + 2p + -2p Combine like terms: 5p + -2p = 3p 12 + 3p = 40 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + 3p = 40 + 0 12 + 3p = 40 Add '-12' to each side of the equation. 12 + -12 + 3p = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 3p = 40 + -12 3p = 40 + -12 Combine like terms: 40 + -12 = 28 3p = 28 Divide each side by '3'. p = 9.333333333 Simplifying p = 9.333333333
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