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Simplifying 2976 = 31(p + 30) Reorder the terms: 2976 = 31(30 + p) 2976 = (30 * 31 + p * 31) 2976 = (930 + 31p) Solving 2976 = 930 + 31p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-31p' to each side of the equation. 2976 + -31p = 930 + 31p + -31p Combine like terms: 31p + -31p = 0 2976 + -31p = 930 + 0 2976 + -31p = 930 Add '-2976' to each side of the equation. 2976 + -2976 + -31p = 930 + -2976 Combine like terms: 2976 + -2976 = 0 0 + -31p = 930 + -2976 -31p = 930 + -2976 Combine like terms: 930 + -2976 = -2046 -31p = -2046 Divide each side by '-31'. p = 66 Simplifying p = 66
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