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Simplifying 8p + -10(3 + -1p) = 42 8p + (3 * -10 + -1p * -10) = 42 8p + (-30 + 10p) = 42 Reorder the terms: -30 + 8p + 10p = 42 Combine like terms: 8p + 10p = 18p -30 + 18p = 42 Solving -30 + 18p = 42 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 18p = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 18p = 42 + 30 18p = 42 + 30 Combine like terms: 42 + 30 = 72 18p = 72 Divide each side by '18'. p = 4 Simplifying p = 4
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