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Simplifying 3450 = 46(p + 35) Reorder the terms: 3450 = 46(35 + p) 3450 = (35 * 46 + p * 46) 3450 = (1610 + 46p) Solving 3450 = 1610 + 46p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-46p' to each side of the equation. 3450 + -46p = 1610 + 46p + -46p Combine like terms: 46p + -46p = 0 3450 + -46p = 1610 + 0 3450 + -46p = 1610 Add '-3450' to each side of the equation. 3450 + -3450 + -46p = 1610 + -3450 Combine like terms: 3450 + -3450 = 0 0 + -46p = 1610 + -3450 -46p = 1610 + -3450 Combine like terms: 1610 + -3450 = -1840 -46p = -1840 Divide each side by '-46'. p = 40 Simplifying p = 40
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