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Simplifying -8p + -20 = -7(7p + -3) Reorder the terms: -20 + -8p = -7(7p + -3) Reorder the terms: -20 + -8p = -7(-3 + 7p) -20 + -8p = (-3 * -7 + 7p * -7) -20 + -8p = (21 + -49p) Solving -20 + -8p = 21 + -49p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '49p' to each side of the equation. -20 + -8p + 49p = 21 + -49p + 49p Combine like terms: -8p + 49p = 41p -20 + 41p = 21 + -49p + 49p Combine like terms: -49p + 49p = 0 -20 + 41p = 21 + 0 -20 + 41p = 21 Add '20' to each side of the equation. -20 + 20 + 41p = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 41p = 21 + 20 41p = 21 + 20 Combine like terms: 21 + 20 = 41 41p = 41 Divide each side by '41'. p = 1 Simplifying p = 1
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