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Simplifying 14 + -2p = -8(p + -7) Reorder the terms: 14 + -2p = -8(-7 + p) 14 + -2p = (-7 * -8 + p * -8) 14 + -2p = (56 + -8p) Solving 14 + -2p = 56 + -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 + -2p + 8p = 56 + -8p + 8p Combine like terms: -2p + 8p = 6p 14 + 6p = 56 + -8p + 8p Combine like terms: -8p + 8p = 0 14 + 6p = 56 + 0 14 + 6p = 56 Add '-14' to each side of the equation. 14 + -14 + 6p = 56 + -14 Combine like terms: 14 + -14 = 0 0 + 6p = 56 + -14 6p = 56 + -14 Combine like terms: 56 + -14 = 42 6p = 42 Divide each side by '6'. p = 7 Simplifying p = 7
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