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Simplifying -7p + 24 = -8p + -7(2p + 3) Reorder the terms: 24 + -7p = -8p + -7(2p + 3) Reorder the terms: 24 + -7p = -8p + -7(3 + 2p) 24 + -7p = -8p + (3 * -7 + 2p * -7) 24 + -7p = -8p + (-21 + -14p) Reorder the terms: 24 + -7p = -21 + -8p + -14p Combine like terms: -8p + -14p = -22p 24 + -7p = -21 + -22p Solving 24 + -7p = -21 + -22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '22p' to each side of the equation. 24 + -7p + 22p = -21 + -22p + 22p Combine like terms: -7p + 22p = 15p 24 + 15p = -21 + -22p + 22p Combine like terms: -22p + 22p = 0 24 + 15p = -21 + 0 24 + 15p = -21 Add '-24' to each side of the equation. 24 + -24 + 15p = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 15p = -21 + -24 15p = -21 + -24 Combine like terms: -21 + -24 = -45 15p = -45 Divide each side by '15'. p = -3 Simplifying p = -3
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