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Simplifying 3(2p + 7) = 15(p + -5) Reorder the terms: 3(7 + 2p) = 15(p + -5) (7 * 3 + 2p * 3) = 15(p + -5) (21 + 6p) = 15(p + -5) Reorder the terms: 21 + 6p = 15(-5 + p) 21 + 6p = (-5 * 15 + p * 15) 21 + 6p = (-75 + 15p) Solving 21 + 6p = -75 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 21 + 6p + -15p = -75 + 15p + -15p Combine like terms: 6p + -15p = -9p 21 + -9p = -75 + 15p + -15p Combine like terms: 15p + -15p = 0 21 + -9p = -75 + 0 21 + -9p = -75 Add '-21' to each side of the equation. 21 + -21 + -9p = -75 + -21 Combine like terms: 21 + -21 = 0 0 + -9p = -75 + -21 -9p = -75 + -21 Combine like terms: -75 + -21 = -96 -9p = -96 Divide each side by '-9'. p = 10.66666667 Simplifying p = 10.66666667
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