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Simplifying 13 + 4p + 2 = -2p + -7 + 3p + 10 Reorder the terms: 13 + 2 + 4p = -2p + -7 + 3p + 10 Combine like terms: 13 + 2 = 15 15 + 4p = -2p + -7 + 3p + 10 Reorder the terms: 15 + 4p = -7 + 10 + -2p + 3p Combine like terms: -7 + 10 = 3 15 + 4p = 3 + -2p + 3p Combine like terms: -2p + 3p = 1p 15 + 4p = 3 + 1p Solving 15 + 4p = 3 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 15 + 4p + -1p = 3 + 1p + -1p Combine like terms: 4p + -1p = 3p 15 + 3p = 3 + 1p + -1p Combine like terms: 1p + -1p = 0 15 + 3p = 3 + 0 15 + 3p = 3 Add '-15' to each side of the equation. 15 + -15 + 3p = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 3p = 3 + -15 3p = 3 + -15 Combine like terms: 3 + -15 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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