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Simplifying 2278 = 34(p + 20) Reorder the terms: 2278 = 34(20 + p) 2278 = (20 * 34 + p * 34) 2278 = (680 + 34p) Solving 2278 = 680 + 34p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-34p' to each side of the equation. 2278 + -34p = 680 + 34p + -34p Combine like terms: 34p + -34p = 0 2278 + -34p = 680 + 0 2278 + -34p = 680 Add '-2278' to each side of the equation. 2278 + -2278 + -34p = 680 + -2278 Combine like terms: 2278 + -2278 = 0 0 + -34p = 680 + -2278 -34p = 680 + -2278 Combine like terms: 680 + -2278 = -1598 -34p = -1598 Divide each side by '-34'. p = 47 Simplifying p = 47
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