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Simplifying 4(5p + 1) = 19p + 17 Reorder the terms: 4(1 + 5p) = 19p + 17 (1 * 4 + 5p * 4) = 19p + 17 (4 + 20p) = 19p + 17 Reorder the terms: 4 + 20p = 17 + 19p Solving 4 + 20p = 17 + 19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19p' to each side of the equation. 4 + 20p + -19p = 17 + 19p + -19p Combine like terms: 20p + -19p = 1p 4 + 1p = 17 + 19p + -19p Combine like terms: 19p + -19p = 0 4 + 1p = 17 + 0 4 + 1p = 17 Add '-4' to each side of the equation. 4 + -4 + 1p = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 1p = 17 + -4 1p = 17 + -4 Combine like terms: 17 + -4 = 13 1p = 13 Divide each side by '1'. p = 13 Simplifying p = 13
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