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Simplifying 4(10 + -1p) + 5p = 47 (10 * 4 + -1p * 4) + 5p = 47 (40 + -4p) + 5p = 47 Combine like terms: -4p + 5p = 1p 40 + 1p = 47 Solving 40 + 1p = 47 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1p = 47 + -40 Combine like terms: 40 + -40 = 0 0 + 1p = 47 + -40 1p = 47 + -40 Combine like terms: 47 + -40 = 7 1p = 7 Divide each side by '1'. p = 7 Simplifying p = 7
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