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Simplifying 24 + -4p = p + -7(2 + -2p) 24 + -4p = p + (2 * -7 + -2p * -7) 24 + -4p = p + (-14 + 14p) Reorder the terms: 24 + -4p = -14 + p + 14p Combine like terms: p + 14p = 15p 24 + -4p = -14 + 15p Solving 24 + -4p = -14 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 24 + -4p + -15p = -14 + 15p + -15p Combine like terms: -4p + -15p = -19p 24 + -19p = -14 + 15p + -15p Combine like terms: 15p + -15p = 0 24 + -19p = -14 + 0 24 + -19p = -14 Add '-24' to each side of the equation. 24 + -24 + -19p = -14 + -24 Combine like terms: 24 + -24 = 0 0 + -19p = -14 + -24 -19p = -14 + -24 Combine like terms: -14 + -24 = -38 -19p = -38 Divide each side by '-19'. p = 2 Simplifying p = 2
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