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Simplifying 33 + p = 5(4p + -1) Reorder the terms: 33 + p = 5(-1 + 4p) 33 + p = (-1 * 5 + 4p * 5) 33 + p = (-5 + 20p) Solving 33 + p = -5 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 33 + p + -20p = -5 + 20p + -20p Combine like terms: p + -20p = -19p 33 + -19p = -5 + 20p + -20p Combine like terms: 20p + -20p = 0 33 + -19p = -5 + 0 33 + -19p = -5 Add '-33' to each side of the equation. 33 + -33 + -19p = -5 + -33 Combine like terms: 33 + -33 = 0 0 + -19p = -5 + -33 -19p = -5 + -33 Combine like terms: -5 + -33 = -38 -19p = -38 Divide each side by '-19'. p = 2 Simplifying p = 2
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