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Simplifying -6p + 8p + 13 = -7 + -8p Reorder the terms: 13 + -6p + 8p = -7 + -8p Combine like terms: -6p + 8p = 2p 13 + 2p = -7 + -8p Solving 13 + 2p = -7 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 13 + 2p + 8p = -7 + -8p + 8p Combine like terms: 2p + 8p = 10p 13 + 10p = -7 + -8p + 8p Combine like terms: -8p + 8p = 0 13 + 10p = -7 + 0 13 + 10p = -7 Add '-13' to each side of the equation. 13 + -13 + 10p = -7 + -13 Combine like terms: 13 + -13 = 0 0 + 10p = -7 + -13 10p = -7 + -13 Combine like terms: -7 + -13 = -20 10p = -20 Divide each side by '10'. p = -2 Simplifying p = -2
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