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Simplifying -7p + 7(-20p + -5) = -15 + 20p + -20 Reorder the terms: -7p + 7(-5 + -20p) = -15 + 20p + -20 -7p + (-5 * 7 + -20p * 7) = -15 + 20p + -20 -7p + (-35 + -140p) = -15 + 20p + -20 Reorder the terms: -35 + -7p + -140p = -15 + 20p + -20 Combine like terms: -7p + -140p = -147p -35 + -147p = -15 + 20p + -20 Reorder the terms: -35 + -147p = -15 + -20 + 20p Combine like terms: -15 + -20 = -35 -35 + -147p = -35 + 20p Add '35' to each side of the equation. -35 + 35 + -147p = -35 + 35 + 20p Combine like terms: -35 + 35 = 0 0 + -147p = -35 + 35 + 20p -147p = -35 + 35 + 20p Combine like terms: -35 + 35 = 0 -147p = 0 + 20p -147p = 20p Solving -147p = 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -147p + -20p = 20p + -20p Combine like terms: -147p + -20p = -167p -167p = 20p + -20p Combine like terms: 20p + -20p = 0 -167p = 0 Divide each side by '-167'. p = 0 Simplifying p = 0
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