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Simplifying -6p + 4(8p + 7) = -2p Reorder the terms: -6p + 4(7 + 8p) = -2p -6p + (7 * 4 + 8p * 4) = -2p -6p + (28 + 32p) = -2p Reorder the terms: 28 + -6p + 32p = -2p Combine like terms: -6p + 32p = 26p 28 + 26p = -2p Solving 28 + 26p = -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. 28 + 26p + 2p = -2p + 2p Combine like terms: 26p + 2p = 28p 28 + 28p = -2p + 2p Combine like terms: -2p + 2p = 0 28 + 28p = 0 Add '-28' to each side of the equation. 28 + -28 + 28p = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 28p = 0 + -28 28p = 0 + -28 Combine like terms: 0 + -28 = -28 28p = -28 Divide each side by '28'. p = -1 Simplifying p = -1
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