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Simplifying -2p + 7 = 5(11p + 6) Reorder the terms: 7 + -2p = 5(11p + 6) Reorder the terms: 7 + -2p = 5(6 + 11p) 7 + -2p = (6 * 5 + 11p * 5) 7 + -2p = (30 + 55p) Solving 7 + -2p = 30 + 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. 7 + -2p + -55p = 30 + 55p + -55p Combine like terms: -2p + -55p = -57p 7 + -57p = 30 + 55p + -55p Combine like terms: 55p + -55p = 0 7 + -57p = 30 + 0 7 + -57p = 30 Add '-7' to each side of the equation. 7 + -7 + -57p = 30 + -7 Combine like terms: 7 + -7 = 0 0 + -57p = 30 + -7 -57p = 30 + -7 Combine like terms: 30 + -7 = 23 -57p = 23 Divide each side by '-57'. p = -0.4035087719 Simplifying p = -0.4035087719
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