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Simplifying -5(3p + 4) + -25 = 3(2p + 6) Reorder the terms: -5(4 + 3p) + -25 = 3(2p + 6) (4 * -5 + 3p * -5) + -25 = 3(2p + 6) (-20 + -15p) + -25 = 3(2p + 6) Reorder the terms: -20 + -25 + -15p = 3(2p + 6) Combine like terms: -20 + -25 = -45 -45 + -15p = 3(2p + 6) Reorder the terms: -45 + -15p = 3(6 + 2p) -45 + -15p = (6 * 3 + 2p * 3) -45 + -15p = (18 + 6p) Solving -45 + -15p = 18 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -45 + -15p + -6p = 18 + 6p + -6p Combine like terms: -15p + -6p = -21p -45 + -21p = 18 + 6p + -6p Combine like terms: 6p + -6p = 0 -45 + -21p = 18 + 0 -45 + -21p = 18 Add '45' to each side of the equation. -45 + 45 + -21p = 18 + 45 Combine like terms: -45 + 45 = 0 0 + -21p = 18 + 45 -21p = 18 + 45 Combine like terms: 18 + 45 = 63 -21p = 63 Divide each side by '-21'. p = -3 Simplifying p = -3
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