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Simplifying -2p + 8 = 6(-7p + 7) Reorder the terms: 8 + -2p = 6(-7p + 7) Reorder the terms: 8 + -2p = 6(7 + -7p) 8 + -2p = (7 * 6 + -7p * 6) 8 + -2p = (42 + -42p) Solving 8 + -2p = 42 + -42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '42p' to each side of the equation. 8 + -2p + 42p = 42 + -42p + 42p Combine like terms: -2p + 42p = 40p 8 + 40p = 42 + -42p + 42p Combine like terms: -42p + 42p = 0 8 + 40p = 42 + 0 8 + 40p = 42 Add '-8' to each side of the equation. 8 + -8 + 40p = 42 + -8 Combine like terms: 8 + -8 = 0 0 + 40p = 42 + -8 40p = 42 + -8 Combine like terms: 42 + -8 = 34 40p = 34 Divide each side by '40'. p = 0.85 Simplifying p = 0.85
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