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Simplifying -3p + 7(p + 4) = -14 + -2p Reorder the terms: -3p + 7(4 + p) = -14 + -2p -3p + (4 * 7 + p * 7) = -14 + -2p -3p + (28 + 7p) = -14 + -2p Reorder the terms: 28 + -3p + 7p = -14 + -2p Combine like terms: -3p + 7p = 4p 28 + 4p = -14 + -2p Solving 28 + 4p = -14 + -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 + 4p + 2p = -14 + -2p + 2p Combine like terms: 4p + 2p = 6p 28 + 6p = -14 + -2p + 2p Combine like terms: -2p + 2p = 0 28 + 6p = -14 + 0 28 + 6p = -14 Add '-28' to each side of the equation. 28 + -28 + 6p = -14 + -28 Combine like terms: 28 + -28 = 0 0 + 6p = -14 + -28 6p = -14 + -28 Combine like terms: -14 + -28 = -42 6p = -42 Divide each side by '6'. p = -7 Simplifying p = -7
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