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Simplifying 47 = -1p + 3(4p + 1) Reorder the terms: 47 = -1p + 3(1 + 4p) 47 = -1p + (1 * 3 + 4p * 3) 47 = -1p + (3 + 12p) Reorder the terms: 47 = 3 + -1p + 12p Combine like terms: -1p + 12p = 11p 47 = 3 + 11p Solving 47 = 3 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. 47 + -11p = 3 + 11p + -11p Combine like terms: 11p + -11p = 0 47 + -11p = 3 + 0 47 + -11p = 3 Add '-47' to each side of the equation. 47 + -47 + -11p = 3 + -47 Combine like terms: 47 + -47 = 0 0 + -11p = 3 + -47 -11p = 3 + -47 Combine like terms: 3 + -47 = -44 -11p = -44 Divide each side by '-11'. p = 4 Simplifying p = 4
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