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Simplifying -7(p + -8) = 4(1 + -5p) Reorder the terms: -7(-8 + p) = 4(1 + -5p) (-8 * -7 + p * -7) = 4(1 + -5p) (56 + -7p) = 4(1 + -5p) 56 + -7p = (1 * 4 + -5p * 4) 56 + -7p = (4 + -20p) Solving 56 + -7p = 4 + -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. 56 + -7p + 20p = 4 + -20p + 20p Combine like terms: -7p + 20p = 13p 56 + 13p = 4 + -20p + 20p Combine like terms: -20p + 20p = 0 56 + 13p = 4 + 0 56 + 13p = 4 Add '-56' to each side of the equation. 56 + -56 + 13p = 4 + -56 Combine like terms: 56 + -56 = 0 0 + 13p = 4 + -56 13p = 4 + -56 Combine like terms: 4 + -56 = -52 13p = -52 Divide each side by '13'. p = -4 Simplifying p = -4
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