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Simplifying -3(8p + 5) + -2(1 + -23p) = 3(3 + 7p) Reorder the terms: -3(5 + 8p) + -2(1 + -23p) = 3(3 + 7p) (5 * -3 + 8p * -3) + -2(1 + -23p) = 3(3 + 7p) (-15 + -24p) + -2(1 + -23p) = 3(3 + 7p) -15 + -24p + (1 * -2 + -23p * -2) = 3(3 + 7p) -15 + -24p + (-2 + 46p) = 3(3 + 7p) Reorder the terms: -15 + -2 + -24p + 46p = 3(3 + 7p) Combine like terms: -15 + -2 = -17 -17 + -24p + 46p = 3(3 + 7p) Combine like terms: -24p + 46p = 22p -17 + 22p = 3(3 + 7p) -17 + 22p = (3 * 3 + 7p * 3) -17 + 22p = (9 + 21p) Solving -17 + 22p = 9 + 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. -17 + 22p + -21p = 9 + 21p + -21p Combine like terms: 22p + -21p = 1p -17 + 1p = 9 + 21p + -21p Combine like terms: 21p + -21p = 0 -17 + 1p = 9 + 0 -17 + 1p = 9 Add '17' to each side of the equation. -17 + 17 + 1p = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 9 + 17 1p = 9 + 17 Combine like terms: 9 + 17 = 26 1p = 26 Divide each side by '1'. p = 26 Simplifying p = 26
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