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Simplifying 40 + -8p = 8(-3p + -1) Reorder the terms: 40 + -8p = 8(-1 + -3p) 40 + -8p = (-1 * 8 + -3p * 8) 40 + -8p = (-8 + -24p) Solving 40 + -8p = -8 + -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. 40 + -8p + 24p = -8 + -24p + 24p Combine like terms: -8p + 24p = 16p 40 + 16p = -8 + -24p + 24p Combine like terms: -24p + 24p = 0 40 + 16p = -8 + 0 40 + 16p = -8 Add '-40' to each side of the equation. 40 + -40 + 16p = -8 + -40 Combine like terms: 40 + -40 = 0 0 + 16p = -8 + -40 16p = -8 + -40 Combine like terms: -8 + -40 = -48 16p = -48 Divide each side by '16'. p = -3 Simplifying p = -3
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