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Simplifying 3(3p + 7) = 15(p + -4) Reorder the terms: 3(7 + 3p) = 15(p + -4) (7 * 3 + 3p * 3) = 15(p + -4) (21 + 9p) = 15(p + -4) Reorder the terms: 21 + 9p = 15(-4 + p) 21 + 9p = (-4 * 15 + p * 15) 21 + 9p = (-60 + 15p) Solving 21 + 9p = -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 + 9p + -15p = -60 + 15p + -15p Combine like terms: 9p + -15p = -6p 21 + -6p = -60 + 15p + -15p Combine like terms: 15p + -15p = 0 21 + -6p = -60 + 0 21 + -6p = -60 Add '-21' to each side of the equation. 21 + -21 + -6p = -60 + -21 Combine like terms: 21 + -21 = 0 0 + -6p = -60 + -21 -6p = -60 + -21 Combine like terms: -60 + -21 = -81 -6p = -81 Divide each side by '-6'. p = 13.5 Simplifying p = 13.5
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