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Simplifying -2p + 8 = 5(8p + 4) Reorder the terms: 8 + -2p = 5(8p + 4) Reorder the terms: 8 + -2p = 5(4 + 8p) 8 + -2p = (4 * 5 + 8p * 5) 8 + -2p = (20 + 40p) Solving 8 + -2p = 20 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. 8 + -2p + -40p = 20 + 40p + -40p Combine like terms: -2p + -40p = -42p 8 + -42p = 20 + 40p + -40p Combine like terms: 40p + -40p = 0 8 + -42p = 20 + 0 8 + -42p = 20 Add '-8' to each side of the equation. 8 + -8 + -42p = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -42p = 20 + -8 -42p = 20 + -8 Combine like terms: 20 + -8 = 12 -42p = 12 Divide each side by '-42'. p = -0.2857142857 Simplifying p = -0.2857142857
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