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Simplifying p = 5p + 4(4p + 6) + 6 Reorder the terms: p = 5p + 4(6 + 4p) + 6 p = 5p + (6 * 4 + 4p * 4) + 6 p = 5p + (24 + 16p) + 6 Reorder the terms: p = 24 + 6 + 5p + 16p Combine like terms: 24 + 6 = 30 p = 30 + 5p + 16p Combine like terms: 5p + 16p = 21p p = 30 + 21p Solving p = 30 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. p + -21p = 30 + 21p + -21p Combine like terms: p + -21p = -20p -20p = 30 + 21p + -21p Combine like terms: 21p + -21p = 0 -20p = 30 + 0 -20p = 30 Divide each side by '-20'. p = -1.5 Simplifying p = -1.5
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