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Simplifying 3(2p + 7) = 14(p + -4) Reorder the terms: 3(7 + 2p) = 14(p + -4) (7 * 3 + 2p * 3) = 14(p + -4) (21 + 6p) = 14(p + -4) Reorder the terms: 21 + 6p = 14(-4 + p) 21 + 6p = (-4 * 14 + p * 14) 21 + 6p = (-56 + 14p) Solving 21 + 6p = -56 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 21 + 6p + -14p = -56 + 14p + -14p Combine like terms: 6p + -14p = -8p 21 + -8p = -56 + 14p + -14p Combine like terms: 14p + -14p = 0 21 + -8p = -56 + 0 21 + -8p = -56 Add '-21' to each side of the equation. 21 + -21 + -8p = -56 + -21 Combine like terms: 21 + -21 = 0 0 + -8p = -56 + -21 -8p = -56 + -21 Combine like terms: -56 + -21 = -77 -8p = -77 Divide each side by '-8'. p = 9.625 Simplifying p = 9.625
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