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Simplifying -3(8p + 5) + -2(2 + -23p) = 3(5 + 7p) Reorder the terms: -3(5 + 8p) + -2(2 + -23p) = 3(5 + 7p) (5 * -3 + 8p * -3) + -2(2 + -23p) = 3(5 + 7p) (-15 + -24p) + -2(2 + -23p) = 3(5 + 7p) -15 + -24p + (2 * -2 + -23p * -2) = 3(5 + 7p) -15 + -24p + (-4 + 46p) = 3(5 + 7p) Reorder the terms: -15 + -4 + -24p + 46p = 3(5 + 7p) Combine like terms: -15 + -4 = -19 -19 + -24p + 46p = 3(5 + 7p) Combine like terms: -24p + 46p = 22p -19 + 22p = 3(5 + 7p) -19 + 22p = (5 * 3 + 7p * 3) -19 + 22p = (15 + 21p) Solving -19 + 22p = 15 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -19 + 22p + -21p = 15 + 21p + -21p Combine like terms: 22p + -21p = 1p -19 + 1p = 15 + 21p + -21p Combine like terms: 21p + -21p = 0 -19 + 1p = 15 + 0 -19 + 1p = 15 Add '19' to each side of the equation. -19 + 19 + 1p = 15 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 15 + 19 1p = 15 + 19 Combine like terms: 15 + 19 = 34 1p = 34 Divide each side by '1'. p = 34 Simplifying p = 34
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