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Simplifying -4 = 8p + 4(6p + 7) Reorder the terms: -4 = 8p + 4(7 + 6p) -4 = 8p + (7 * 4 + 6p * 4) -4 = 8p + (28 + 24p) Reorder the terms: -4 = 28 + 8p + 24p Combine like terms: 8p + 24p = 32p -4 = 28 + 32p Solving -4 = 28 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. -4 + -32p = 28 + 32p + -32p Combine like terms: 32p + -32p = 0 -4 + -32p = 28 + 0 -4 + -32p = 28 Add '4' to each side of the equation. -4 + 4 + -32p = 28 + 4 Combine like terms: -4 + 4 = 0 0 + -32p = 28 + 4 -32p = 28 + 4 Combine like terms: 28 + 4 = 32 -32p = 32 Divide each side by '-32'. p = -1 Simplifying p = -1
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