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Simplifying p + -1(p + 16) = 4(p + -4) + 4p Reorder the terms: p + -1(16 + p) = 4(p + -4) + 4p p + (16 * -1 + p * -1) = 4(p + -4) + 4p p + (-16 + -1p) = 4(p + -4) + 4p Reorder the terms: -16 + p + -1p = 4(p + -4) + 4p Combine like terms: p + -1p = 0 -16 + 0 = 4(p + -4) + 4p -16 = 4(p + -4) + 4p Reorder the terms: -16 = 4(-4 + p) + 4p -16 = (-4 * 4 + p * 4) + 4p -16 = (-16 + 4p) + 4p Combine like terms: 4p + 4p = 8p -16 = -16 + 8p Add '16' to each side of the equation. -16 + 16 = -16 + 16 + 8p Combine like terms: -16 + 16 = 0 0 = -16 + 16 + 8p Combine like terms: -16 + 16 = 0 0 = 0 + 8p 0 = 8p Solving 0 = 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 0 + -8p = 8p + -8p Remove the zero: -8p = 8p + -8p Combine like terms: 8p + -8p = 0 -8p = 0 Divide each side by '-8'. p = 0 Simplifying p = 0
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