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Simplifying 8p + -6p + 7 = -7p + 43 + -9p Reorder the terms: 7 + 8p + -6p = -7p + 43 + -9p Combine like terms: 8p + -6p = 2p 7 + 2p = -7p + 43 + -9p Reorder the terms: 7 + 2p = 43 + -7p + -9p Combine like terms: -7p + -9p = -16p 7 + 2p = 43 + -16p Solving 7 + 2p = 43 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 7 + 2p + 16p = 43 + -16p + 16p Combine like terms: 2p + 16p = 18p 7 + 18p = 43 + -16p + 16p Combine like terms: -16p + 16p = 0 7 + 18p = 43 + 0 7 + 18p = 43 Add '-7' to each side of the equation. 7 + -7 + 18p = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 18p = 43 + -7 18p = 43 + -7 Combine like terms: 43 + -7 = 36 18p = 36 Divide each side by '18'. p = 2 Simplifying p = 2
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