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Simplifying 2(3 + -5p) = 24 + -1p (3 * 2 + -5p * 2) = 24 + -1p (6 + -10p) = 24 + -1p Solving 6 + -10p = 24 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 6 + -10p + p = 24 + -1p + p Combine like terms: -10p + p = -9p 6 + -9p = 24 + -1p + p Combine like terms: -1p + p = 0 6 + -9p = 24 + 0 6 + -9p = 24 Add '-6' to each side of the equation. 6 + -6 + -9p = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -9p = 24 + -6 -9p = 24 + -6 Combine like terms: 24 + -6 = 18 -9p = 18 Divide each side by '-9'. p = -2 Simplifying p = -2
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