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Simplifying 4 + 12p + -1 = 8p + 13 + -6p Reorder the terms: 4 + -1 + 12p = 8p + 13 + -6p Combine like terms: 4 + -1 = 3 3 + 12p = 8p + 13 + -6p Reorder the terms: 3 + 12p = 13 + 8p + -6p Combine like terms: 8p + -6p = 2p 3 + 12p = 13 + 2p Solving 3 + 12p = 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. 3 + 12p + -2p = 13 + 2p + -2p Combine like terms: 12p + -2p = 10p 3 + 10p = 13 + 2p + -2p Combine like terms: 2p + -2p = 0 3 + 10p = 13 + 0 3 + 10p = 13 Add '-3' to each side of the equation. 3 + -3 + 10p = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 10p = 13 + -3 10p = 13 + -3 Combine like terms: 13 + -3 = 10 10p = 10 Divide each side by '10'. p = 1 Simplifying p = 1
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