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Simplifying 8(-1p + -7) = 8(-7 + 3p) Reorder the terms: 8(-7 + -1p) = 8(-7 + 3p) (-7 * 8 + -1p * 8) = 8(-7 + 3p) (-56 + -8p) = 8(-7 + 3p) -56 + -8p = (-7 * 8 + 3p * 8) -56 + -8p = (-56 + 24p) Add '56' to each side of the equation. -56 + 56 + -8p = -56 + 56 + 24p Combine like terms: -56 + 56 = 0 0 + -8p = -56 + 56 + 24p -8p = -56 + 56 + 24p Combine like terms: -56 + 56 = 0 -8p = 0 + 24p -8p = 24p Solving -8p = 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. -8p + -24p = 24p + -24p Combine like terms: -8p + -24p = -32p -32p = 24p + -24p Combine like terms: 24p + -24p = 0 -32p = 0 Divide each side by '-32'. p = 0 Simplifying p = 0
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