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Simplifying p + -1(p + 24) = 8(p + -3) + 3p Reorder the terms: p + -1(24 + p) = 8(p + -3) + 3p p + (24 * -1 + p * -1) = 8(p + -3) + 3p p + (-24 + -1p) = 8(p + -3) + 3p Reorder the terms: -24 + p + -1p = 8(p + -3) + 3p Combine like terms: p + -1p = 0 -24 + 0 = 8(p + -3) + 3p -24 = 8(p + -3) + 3p Reorder the terms: -24 = 8(-3 + p) + 3p -24 = (-3 * 8 + p * 8) + 3p -24 = (-24 + 8p) + 3p Combine like terms: 8p + 3p = 11p -24 = -24 + 11p Add '24' to each side of the equation. -24 + 24 = -24 + 24 + 11p Combine like terms: -24 + 24 = 0 0 = -24 + 24 + 11p Combine like terms: -24 + 24 = 0 0 = 0 + 11p 0 = 11p Solving 0 = 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. 0 + -11p = 11p + -11p Remove the zero: -11p = 11p + -11p Combine like terms: 11p + -11p = 0 -11p = 0 Divide each side by '-11'. p = 0 Simplifying p = 0
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