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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 = 32 16p = 32 Divide each side by '16'. p = 2 Simplifying p = 2
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