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Simplifying -8(-1 + 4p) = -5(6p + -1) + 1 (-1 * -8 + 4p * -8) = -5(6p + -1) + 1 (8 + -32p) = -5(6p + -1) + 1 Reorder the terms: 8 + -32p = -5(-1 + 6p) + 1 8 + -32p = (-1 * -5 + 6p * -5) + 1 8 + -32p = (5 + -30p) + 1 Reorder the terms: 8 + -32p = 5 + 1 + -30p Combine like terms: 5 + 1 = 6 8 + -32p = 6 + -30p Solving 8 + -32p = 6 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. 8 + -32p + 30p = 6 + -30p + 30p Combine like terms: -32p + 30p = -2p 8 + -2p = 6 + -30p + 30p Combine like terms: -30p + 30p = 0 8 + -2p = 6 + 0 8 + -2p = 6 Add '-8' to each side of the equation. 8 + -8 + -2p = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = 6 + -8 -2p = 6 + -8 Combine like terms: 6 + -8 = -2 -2p = -2 Divide each side by '-2'. p = 1 Simplifying p = 1
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