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Simplifying -4(8p + -7) + 4p = 6(1 + -5p) Reorder the terms: -4(-7 + 8p) + 4p = 6(1 + -5p) (-7 * -4 + 8p * -4) + 4p = 6(1 + -5p) (28 + -32p) + 4p = 6(1 + -5p) Combine like terms: -32p + 4p = -28p 28 + -28p = 6(1 + -5p) 28 + -28p = (1 * 6 + -5p * 6) 28 + -28p = (6 + -30p) Solving 28 + -28p = 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. 28 + -28p + 30p = 6 + -30p + 30p Combine like terms: -28p + 30p = 2p 28 + 2p = 6 + -30p + 30p Combine like terms: -30p + 30p = 0 28 + 2p = 6 + 0 28 + 2p = 6 Add '-28' to each side of the equation. 28 + -28 + 2p = 6 + -28 Combine like terms: 28 + -28 = 0 0 + 2p = 6 + -28 2p = 6 + -28 Combine like terms: 6 + -28 = -22 2p = -22 Divide each side by '2'. p = -11 Simplifying p = -11
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