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Simplifying -2p + 8 = 5(11p + 1) Reorder the terms: 8 + -2p = 5(11p + 1) Reorder the terms: 8 + -2p = 5(1 + 11p) 8 + -2p = (1 * 5 + 11p * 5) 8 + -2p = (5 + 55p) Solving 8 + -2p = 5 + 55p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-55p' to each side of the equation. 8 + -2p + -55p = 5 + 55p + -55p Combine like terms: -2p + -55p = -57p 8 + -57p = 5 + 55p + -55p Combine like terms: 55p + -55p = 0 8 + -57p = 5 + 0 8 + -57p = 5 Add '-8' to each side of the equation. 8 + -8 + -57p = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -57p = 5 + -8 -57p = 5 + -8 Combine like terms: 5 + -8 = -3 -57p = -3 Divide each side by '-57'. p = 0.05263157895 Simplifying p = 0.05263157895
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