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Simplifying -3(8p + 2) + -2(5 + -23p) = 3(5 + 7p) Reorder the terms: -3(2 + 8p) + -2(5 + -23p) = 3(5 + 7p) (2 * -3 + 8p * -3) + -2(5 + -23p) = 3(5 + 7p) (-6 + -24p) + -2(5 + -23p) = 3(5 + 7p) -6 + -24p + (5 * -2 + -23p * -2) = 3(5 + 7p) -6 + -24p + (-10 + 46p) = 3(5 + 7p) Reorder the terms: -6 + -10 + -24p + 46p = 3(5 + 7p) Combine like terms: -6 + -10 = -16 -16 + -24p + 46p = 3(5 + 7p) Combine like terms: -24p + 46p = 22p -16 + 22p = 3(5 + 7p) -16 + 22p = (5 * 3 + 7p * 3) -16 + 22p = (15 + 21p) Solving -16 + 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. -16 + 22p + -21p = 15 + 21p + -21p Combine like terms: 22p + -21p = 1p -16 + 1p = 15 + 21p + -21p Combine like terms: 21p + -21p = 0 -16 + 1p = 15 + 0 -16 + 1p = 15 Add '16' to each side of the equation. -16 + 16 + 1p = 15 + 16 Combine like terms: -16 + 16 = 0 0 + 1p = 15 + 16 1p = 15 + 16 Combine like terms: 15 + 16 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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