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Simplifying p + -1(p + 14) = 7(p + -2) + 4p Reorder the terms: p + -1(14 + p) = 7(p + -2) + 4p p + (14 * -1 + p * -1) = 7(p + -2) + 4p p + (-14 + -1p) = 7(p + -2) + 4p Reorder the terms: -14 + p + -1p = 7(p + -2) + 4p Combine like terms: p + -1p = 0 -14 + 0 = 7(p + -2) + 4p -14 = 7(p + -2) + 4p Reorder the terms: -14 = 7(-2 + p) + 4p -14 = (-2 * 7 + p * 7) + 4p -14 = (-14 + 7p) + 4p Combine like terms: 7p + 4p = 11p -14 = -14 + 11p Add '14' to each side of the equation. -14 + 14 = -14 + 14 + 11p Combine like terms: -14 + 14 = 0 0 = -14 + 14 + 11p Combine like terms: -14 + 14 = 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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