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Simplifying 5106 = 46(p + 30) Reorder the terms: 5106 = 46(30 + p) 5106 = (30 * 46 + p * 46) 5106 = (1380 + 46p) Solving 5106 = 1380 + 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. 5106 + -46p = 1380 + 46p + -46p Combine like terms: 46p + -46p = 0 5106 + -46p = 1380 + 0 5106 + -46p = 1380 Add '-5106' to each side of the equation. 5106 + -5106 + -46p = 1380 + -5106 Combine like terms: 5106 + -5106 = 0 0 + -46p = 1380 + -5106 -46p = 1380 + -5106 Combine like terms: 1380 + -5106 = -3726 -46p = -3726 Divide each side by '-46'. p = 81 Simplifying p = 81
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