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Simplifying -1p + 4(1 + -7p) = 4(1 + -6p) + 5 -1p + (1 * 4 + -7p * 4) = 4(1 + -6p) + 5 -1p + (4 + -28p) = 4(1 + -6p) + 5 Reorder the terms: 4 + -1p + -28p = 4(1 + -6p) + 5 Combine like terms: -1p + -28p = -29p 4 + -29p = 4(1 + -6p) + 5 4 + -29p = (1 * 4 + -6p * 4) + 5 4 + -29p = (4 + -24p) + 5 Reorder the terms: 4 + -29p = 4 + 5 + -24p Combine like terms: 4 + 5 = 9 4 + -29p = 9 + -24p Solving 4 + -29p = 9 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 4 + -29p + 24p = 9 + -24p + 24p Combine like terms: -29p + 24p = -5p 4 + -5p = 9 + -24p + 24p Combine like terms: -24p + 24p = 0 4 + -5p = 9 + 0 4 + -5p = 9 Add '-4' to each side of the equation. 4 + -4 + -5p = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5p = 9 + -4 -5p = 9 + -4 Combine like terms: 9 + -4 = 5 -5p = 5 Divide each side by '-5'. p = -1 Simplifying p = -1
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