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Simplifying -22 = -6(1 + 4p) + -8(p + -2) -22 = (1 * -6 + 4p * -6) + -8(p + -2) -22 = (-6 + -24p) + -8(p + -2) Reorder the terms: -22 = -6 + -24p + -8(-2 + p) -22 = -6 + -24p + (-2 * -8 + p * -8) -22 = -6 + -24p + (16 + -8p) Reorder the terms: -22 = -6 + 16 + -24p + -8p Combine like terms: -6 + 16 = 10 -22 = 10 + -24p + -8p Combine like terms: -24p + -8p = -32p -22 = 10 + -32p Solving -22 = 10 + -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. -22 + 32p = 10 + -32p + 32p Combine like terms: -32p + 32p = 0 -22 + 32p = 10 + 0 -22 + 32p = 10 Add '22' to each side of the equation. -22 + 22 + 32p = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 32p = 10 + 22 32p = 10 + 22 Combine like terms: 10 + 22 = 32 32p = 32 Divide each side by '32'. p = 1 Simplifying p = 1
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