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Simplifying 10 + 12p + 4 + 4p = 2p + 1 + 6p + -3 Reorder the terms: 10 + 4 + 12p + 4p = 2p + 1 + 6p + -3 Combine like terms: 10 + 4 = 14 14 + 12p + 4p = 2p + 1 + 6p + -3 Combine like terms: 12p + 4p = 16p 14 + 16p = 2p + 1 + 6p + -3 Reorder the terms: 14 + 16p = 1 + -3 + 2p + 6p Combine like terms: 1 + -3 = -2 14 + 16p = -2 + 2p + 6p Combine like terms: 2p + 6p = 8p 14 + 16p = -2 + 8p Solving 14 + 16p = -2 + 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. 14 + 16p + -8p = -2 + 8p + -8p Combine like terms: 16p + -8p = 8p 14 + 8p = -2 + 8p + -8p Combine like terms: 8p + -8p = 0 14 + 8p = -2 + 0 14 + 8p = -2 Add '-14' to each side of the equation. 14 + -14 + 8p = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 8p = -2 + -14 8p = -2 + -14 Combine like terms: -2 + -14 = -16 8p = -16 Divide each side by '8'. p = -2 Simplifying p = -2
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