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Simplifying -12 + -5(4 + -4p) = 5(p + -4) + -12 -12 + (4 * -5 + -4p * -5) = 5(p + -4) + -12 -12 + (-20 + 20p) = 5(p + -4) + -12 Combine like terms: -12 + -20 = -32 -32 + 20p = 5(p + -4) + -12 Reorder the terms: -32 + 20p = 5(-4 + p) + -12 -32 + 20p = (-4 * 5 + p * 5) + -12 -32 + 20p = (-20 + 5p) + -12 Reorder the terms: -32 + 20p = -20 + -12 + 5p Combine like terms: -20 + -12 = -32 -32 + 20p = -32 + 5p Add '32' to each side of the equation. -32 + 32 + 20p = -32 + 32 + 5p Combine like terms: -32 + 32 = 0 0 + 20p = -32 + 32 + 5p 20p = -32 + 32 + 5p Combine like terms: -32 + 32 = 0 20p = 0 + 5p 20p = 5p Solving 20p = 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 20p + -5p = 5p + -5p Combine like terms: 20p + -5p = 15p 15p = 5p + -5p Combine like terms: 5p + -5p = 0 15p = 0 Divide each side by '15'. p = 0 Simplifying p = 0
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