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Simplifying 10 + 4(3p + 10) = 38 Reorder the terms: 10 + 4(10 + 3p) = 38 10 + (10 * 4 + 3p * 4) = 38 10 + (40 + 12p) = 38 Combine like terms: 10 + 40 = 50 50 + 12p = 38 Solving 50 + 12p = 38 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 12p = 38 + -50 Combine like terms: 50 + -50 = 0 0 + 12p = 38 + -50 12p = 38 + -50 Combine like terms: 38 + -50 = -12 12p = -12 Divide each side by '12'. p = -1 Simplifying p = -1
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