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Simplifying -6(4p + 3) + -35 = 5(3p + 5) Reorder the terms: -6(3 + 4p) + -35 = 5(3p + 5) (3 * -6 + 4p * -6) + -35 = 5(3p + 5) (-18 + -24p) + -35 = 5(3p + 5) Reorder the terms: -18 + -35 + -24p = 5(3p + 5) Combine like terms: -18 + -35 = -53 -53 + -24p = 5(3p + 5) Reorder the terms: -53 + -24p = 5(5 + 3p) -53 + -24p = (5 * 5 + 3p * 5) -53 + -24p = (25 + 15p) Solving -53 + -24p = 25 + 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. -53 + -24p + -15p = 25 + 15p + -15p Combine like terms: -24p + -15p = -39p -53 + -39p = 25 + 15p + -15p Combine like terms: 15p + -15p = 0 -53 + -39p = 25 + 0 -53 + -39p = 25 Add '53' to each side of the equation. -53 + 53 + -39p = 25 + 53 Combine like terms: -53 + 53 = 0 0 + -39p = 25 + 53 -39p = 25 + 53 Combine like terms: 25 + 53 = 78 -39p = 78 Divide each side by '-39'. p = -2 Simplifying p = -2
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