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Simplifying 4(1 + -7p) + 4p = 4 + -1p (1 * 4 + -7p * 4) + 4p = 4 + -1p (4 + -28p) + 4p = 4 + -1p Combine like terms: -28p + 4p = -24p 4 + -24p = 4 + -1p Add '-4' to each side of the equation. 4 + -4 + -24p = 4 + -4 + -1p Combine like terms: 4 + -4 = 0 0 + -24p = 4 + -4 + -1p -24p = 4 + -4 + -1p Combine like terms: 4 + -4 = 0 -24p = 0 + -1p -24p = -1p Solving -24p = -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -24p + p = -1p + p Combine like terms: -24p + p = -23p -23p = -1p + p Combine like terms: -1p + p = 0 -23p = 0 Divide each side by '-23'. p = 0 Simplifying p = 0
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