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Simplifying 2822 = 34(p + 30) Reorder the terms: 2822 = 34(30 + p) 2822 = (30 * 34 + p * 34) 2822 = (1020 + 34p) Solving 2822 = 1020 + 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. 2822 + -34p = 1020 + 34p + -34p Combine like terms: 34p + -34p = 0 2822 + -34p = 1020 + 0 2822 + -34p = 1020 Add '-2822' to each side of the equation. 2822 + -2822 + -34p = 1020 + -2822 Combine like terms: 2822 + -2822 = 0 0 + -34p = 1020 + -2822 -34p = 1020 + -2822 Combine like terms: 1020 + -2822 = -1802 -34p = -1802 Divide each side by '-34'. p = 53 Simplifying p = 53
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