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Simplifying 56 = 12p + 1 + 5p + -30 Reorder the terms: 56 = 1 + -30 + 12p + 5p Combine like terms: 1 + -30 = -29 56 = -29 + 12p + 5p Combine like terms: 12p + 5p = 17p 56 = -29 + 17p Solving 56 = -29 + 17p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17p' to each side of the equation. 56 + -17p = -29 + 17p + -17p Combine like terms: 17p + -17p = 0 56 + -17p = -29 + 0 56 + -17p = -29 Add '-56' to each side of the equation. 56 + -56 + -17p = -29 + -56 Combine like terms: 56 + -56 = 0 0 + -17p = -29 + -56 -17p = -29 + -56 Combine like terms: -29 + -56 = -85 -17p = -85 Divide each side by '-17'. p = 5 Simplifying p = 5
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