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Simplifying -3(8p + 6) + -2(2 + -23p) = 3(2 + 7p) Reorder the terms: -3(6 + 8p) + -2(2 + -23p) = 3(2 + 7p) (6 * -3 + 8p * -3) + -2(2 + -23p) = 3(2 + 7p) (-18 + -24p) + -2(2 + -23p) = 3(2 + 7p) -18 + -24p + (2 * -2 + -23p * -2) = 3(2 + 7p) -18 + -24p + (-4 + 46p) = 3(2 + 7p) Reorder the terms: -18 + -4 + -24p + 46p = 3(2 + 7p) Combine like terms: -18 + -4 = -22 -22 + -24p + 46p = 3(2 + 7p) Combine like terms: -24p + 46p = 22p -22 + 22p = 3(2 + 7p) -22 + 22p = (2 * 3 + 7p * 3) -22 + 22p = (6 + 21p) Solving -22 + 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. -22 + 22p + -21p = 6 + 21p + -21p Combine like terms: 22p + -21p = 1p -22 + 1p = 6 + 21p + -21p Combine like terms: 21p + -21p = 0 -22 + 1p = 6 + 0 -22 + 1p = 6 Add '22' to each side of the equation. -22 + 22 + 1p = 6 + 22 Combine like terms: -22 + 22 = 0 0 + 1p = 6 + 22 1p = 6 + 22 Combine like terms: 6 + 22 = 28 1p = 28 Divide each side by '1'. p = 28 Simplifying p = 28
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