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Simplifying -3(8p + 3) + -2(6 + -23p) = 3(2 + 7p) Reorder the terms: -3(3 + 8p) + -2(6 + -23p) = 3(2 + 7p) (3 * -3 + 8p * -3) + -2(6 + -23p) = 3(2 + 7p) (-9 + -24p) + -2(6 + -23p) = 3(2 + 7p) -9 + -24p + (6 * -2 + -23p * -2) = 3(2 + 7p) -9 + -24p + (-12 + 46p) = 3(2 + 7p) Reorder the terms: -9 + -12 + -24p + 46p = 3(2 + 7p) Combine like terms: -9 + -12 = -21 -21 + -24p + 46p = 3(2 + 7p) Combine like terms: -24p + 46p = 22p -21 + 22p = 3(2 + 7p) -21 + 22p = (2 * 3 + 7p * 3) -21 + 22p = (6 + 21p) Solving -21 + 22p = 6 + 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. -21 + 22p + -21p = 6 + 21p + -21p Combine like terms: 22p + -21p = 1p -21 + 1p = 6 + 21p + -21p Combine like terms: 21p + -21p = 0 -21 + 1p = 6 + 0 -21 + 1p = 6 Add '21' to each side of the equation. -21 + 21 + 1p = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 6 + 21 1p = 6 + 21 Combine like terms: 6 + 21 = 27 1p = 27 Divide each side by '1'. p = 27 Simplifying p = 27
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