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Simplifying 24 = 3(2p + -7) + -1p Reorder the terms: 24 = 3(-7 + 2p) + -1p 24 = (-7 * 3 + 2p * 3) + -1p 24 = (-21 + 6p) + -1p Combine like terms: 6p + -1p = 5p 24 = -21 + 5p Solving 24 = -21 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 24 + -5p = -21 + 5p + -5p Combine like terms: 5p + -5p = 0 24 + -5p = -21 + 0 24 + -5p = -21 Add '-24' to each side of the equation. 24 + -24 + -5p = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -5p = -21 + -24 -5p = -21 + -24 Combine like terms: -21 + -24 = -45 -5p = -45 Divide each side by '-5'. p = 9 Simplifying p = 9
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