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Simplifying 2924 = 34(p + 35) Reorder the terms: 2924 = 34(35 + p) 2924 = (35 * 34 + p * 34) 2924 = (1190 + 34p) Solving 2924 = 1190 + 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. 2924 + -34p = 1190 + 34p + -34p Combine like terms: 34p + -34p = 0 2924 + -34p = 1190 + 0 2924 + -34p = 1190 Add '-2924' to each side of the equation. 2924 + -2924 + -34p = 1190 + -2924 Combine like terms: 2924 + -2924 = 0 0 + -34p = 1190 + -2924 -34p = 1190 + -2924 Combine like terms: 1190 + -2924 = -1734 -34p = -1734 Divide each side by '-34'. p = 51 Simplifying p = 51
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