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Simplifying 2834 = 26(p + 30) Reorder the terms: 2834 = 26(30 + p) 2834 = (30 * 26 + p * 26) 2834 = (780 + 26p) Solving 2834 = 780 + 26p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-26p' to each side of the equation. 2834 + -26p = 780 + 26p + -26p Combine like terms: 26p + -26p = 0 2834 + -26p = 780 + 0 2834 + -26p = 780 Add '-2834' to each side of the equation. 2834 + -2834 + -26p = 780 + -2834 Combine like terms: 2834 + -2834 = 0 0 + -26p = 780 + -2834 -26p = 780 + -2834 Combine like terms: 780 + -2834 = -2054 -26p = -2054 Divide each side by '-26'. p = 79 Simplifying p = 79
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