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Simplifying 5p + -7 = 2p + 13 Reorder the terms: -7 + 5p = 2p + 13 Reorder the terms: -7 + 5p = 13 + 2p Solving -7 + 5p = 13 + 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. -7 + 5p + -2p = 13 + 2p + -2p Combine like terms: 5p + -2p = 3p -7 + 3p = 13 + 2p + -2p Combine like terms: 2p + -2p = 0 -7 + 3p = 13 + 0 -7 + 3p = 13 Add '7' to each side of the equation. -7 + 7 + 3p = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 3p = 13 + 7 3p = 13 + 7 Combine like terms: 13 + 7 = 20 3p = 20 Divide each side by '3'. p = 6.666666667 Simplifying p = 6.666666667
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