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Simplifying -8p + -40 = 8(1 + -2p) Reorder the terms: -40 + -8p = 8(1 + -2p) -40 + -8p = (1 * 8 + -2p * 8) -40 + -8p = (8 + -16p) Solving -40 + -8p = 8 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -40 + -8p + 16p = 8 + -16p + 16p Combine like terms: -8p + 16p = 8p -40 + 8p = 8 + -16p + 16p Combine like terms: -16p + 16p = 0 -40 + 8p = 8 + 0 -40 + 8p = 8 Add '40' to each side of the equation. -40 + 40 + 8p = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 8p = 8 + 40 8p = 8 + 40 Combine like terms: 8 + 40 = 48 8p = 48 Divide each side by '8'. p = 6 Simplifying p = 6
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