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Simplifying 4(8p + 1) = 37 + -1p Reorder the terms: 4(1 + 8p) = 37 + -1p (1 * 4 + 8p * 4) = 37 + -1p (4 + 32p) = 37 + -1p Solving 4 + 32p = 37 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 4 + 32p + p = 37 + -1p + p Combine like terms: 32p + p = 33p 4 + 33p = 37 + -1p + p Combine like terms: -1p + p = 0 4 + 33p = 37 + 0 4 + 33p = 37 Add '-4' to each side of the equation. 4 + -4 + 33p = 37 + -4 Combine like terms: 4 + -4 = 0 0 + 33p = 37 + -4 33p = 37 + -4 Combine like terms: 37 + -4 = 33 33p = 33 Divide each side by '33'. p = 1 Simplifying p = 1
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