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Simplifying 3(2p + 7) = -15(p + -4) Reorder the terms: 3(7 + 2p) = -15(p + -4) (7 * 3 + 2p * 3) = -15(p + -4) (21 + 6p) = -15(p + -4) Reorder the terms: 21 + 6p = -15(-4 + p) 21 + 6p = (-4 * -15 + p * -15) 21 + 6p = (60 + -15p) Solving 21 + 6p = 60 + -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 = 60 + -15p + 15p Combine like terms: 6p + 15p = 21p 21 + 21p = 60 + -15p + 15p Combine like terms: -15p + 15p = 0 21 + 21p = 60 + 0 21 + 21p = 60 Add '-21' to each side of the equation. 21 + -21 + 21p = 60 + -21 Combine like terms: 21 + -21 = 0 0 + 21p = 60 + -21 21p = 60 + -21 Combine like terms: 60 + -21 = 39 21p = 39 Divide each side by '21'. p = 1.857142857 Simplifying p = 1.857142857
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