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Simplifying -3(8p + 3) + -2(1 + -23p) = 3(6 + 7p) Reorder the terms: -3(3 + 8p) + -2(1 + -23p) = 3(6 + 7p) (3 * -3 + 8p * -3) + -2(1 + -23p) = 3(6 + 7p) (-9 + -24p) + -2(1 + -23p) = 3(6 + 7p) -9 + -24p + (1 * -2 + -23p * -2) = 3(6 + 7p) -9 + -24p + (-2 + 46p) = 3(6 + 7p) Reorder the terms: -9 + -2 + -24p + 46p = 3(6 + 7p) Combine like terms: -9 + -2 = -11 -11 + -24p + 46p = 3(6 + 7p) Combine like terms: -24p + 46p = 22p -11 + 22p = 3(6 + 7p) -11 + 22p = (6 * 3 + 7p * 3) -11 + 22p = (18 + 21p) Solving -11 + 22p = 18 + 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. -11 + 22p + -21p = 18 + 21p + -21p Combine like terms: 22p + -21p = 1p -11 + 1p = 18 + 21p + -21p Combine like terms: 21p + -21p = 0 -11 + 1p = 18 + 0 -11 + 1p = 18 Add '11' to each side of the equation. -11 + 11 + 1p = 18 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = 18 + 11 1p = 18 + 11 Combine like terms: 18 + 11 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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