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Simplifying 14 + -2p = -3(7p + 8) Reorder the terms: 14 + -2p = -3(8 + 7p) 14 + -2p = (8 * -3 + 7p * -3) 14 + -2p = (-24 + -21p) Solving 14 + -2p = -24 + -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. 14 + -2p + 21p = -24 + -21p + 21p Combine like terms: -2p + 21p = 19p 14 + 19p = -24 + -21p + 21p Combine like terms: -21p + 21p = 0 14 + 19p = -24 + 0 14 + 19p = -24 Add '-14' to each side of the equation. 14 + -14 + 19p = -24 + -14 Combine like terms: 14 + -14 = 0 0 + 19p = -24 + -14 19p = -24 + -14 Combine like terms: -24 + -14 = -38 19p = -38 Divide each side by '19'. p = -2 Simplifying p = -2
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