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Simplifying 7p + 4(1 + -1p) = 19 7p + (1 * 4 + -1p * 4) = 19 7p + (4 + -4p) = 19 Reorder the terms: 4 + 7p + -4p = 19 Combine like terms: 7p + -4p = 3p 4 + 3p = 19 Solving 4 + 3p = 19 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3p = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 19 + -4 3p = 19 + -4 Combine like terms: 19 + -4 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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