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Simplifying 42 = -8(7 + 4p) + 2 42 = (7 * -8 + 4p * -8) + 2 42 = (-56 + -32p) + 2 Reorder the terms: 42 = -56 + 2 + -32p Combine like terms: -56 + 2 = -54 42 = -54 + -32p Solving 42 = -54 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. 42 + 32p = -54 + -32p + 32p Combine like terms: -32p + 32p = 0 42 + 32p = -54 + 0 42 + 32p = -54 Add '-42' to each side of the equation. 42 + -42 + 32p = -54 + -42 Combine like terms: 42 + -42 = 0 0 + 32p = -54 + -42 32p = -54 + -42 Combine like terms: -54 + -42 = -96 32p = -96 Divide each side by '32'. p = -3 Simplifying p = -3
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