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Simplifying 5(3p + 4) = 7(2p + 2) Reorder the terms: 5(4 + 3p) = 7(2p + 2) (4 * 5 + 3p * 5) = 7(2p + 2) (20 + 15p) = 7(2p + 2) Reorder the terms: 20 + 15p = 7(2 + 2p) 20 + 15p = (2 * 7 + 2p * 7) 20 + 15p = (14 + 14p) Solving 20 + 15p = 14 + 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. 20 + 15p + -14p = 14 + 14p + -14p Combine like terms: 15p + -14p = 1p 20 + 1p = 14 + 14p + -14p Combine like terms: 14p + -14p = 0 20 + 1p = 14 + 0 20 + 1p = 14 Add '-20' to each side of the equation. 20 + -20 + 1p = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 1p = 14 + -20 1p = 14 + -20 Combine like terms: 14 + -20 = -6 1p = -6 Divide each side by '1'. p = -6 Simplifying p = -6
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