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Simplifying 8 = 8(p + 42) Reorder the terms: 8 = 8(42 + p) 8 = (42 * 8 + p * 8) 8 = (336 + 8p) Solving 8 = 336 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 8 + -8p = 336 + 8p + -8p Combine like terms: 8p + -8p = 0 8 + -8p = 336 + 0 8 + -8p = 336 Add '-8' to each side of the equation. 8 + -8 + -8p = 336 + -8 Combine like terms: 8 + -8 = 0 0 + -8p = 336 + -8 -8p = 336 + -8 Combine like terms: 336 + -8 = 328 -8p = 328 Divide each side by '-8'. p = -41 Simplifying p = -41
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