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