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Simplifying p + -1(p + 2) = 6(p + -4) + 5p Reorder the terms: p + -1(2 + p) = 6(p + -4) + 5p p + (2 * -1 + p * -1) = 6(p + -4) + 5p p + (-2 + -1p) = 6(p + -4) + 5p Reorder the terms: -2 + p + -1p = 6(p + -4) + 5p Combine like terms: p + -1p = 0 -2 + 0 = 6(p + -4) + 5p -2 = 6(p + -4) + 5p Reorder the terms: -2 = 6(-4 + p) + 5p -2 = (-4 * 6 + p * 6) + 5p -2 = (-24 + 6p) + 5p Combine like terms: 6p + 5p = 11p -2 = -24 + 11p Solving -2 = -24 + 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. -2 + -11p = -24 + 11p + -11p Combine like terms: 11p + -11p = 0 -2 + -11p = -24 + 0 -2 + -11p = -24 Add '2' to each side of the equation. -2 + 2 + -11p = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -11p = -24 + 2 -11p = -24 + 2 Combine like terms: -24 + 2 = -22 -11p = -22 Divide each side by '-11'. p = 2 Simplifying p = 2
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