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Simplifying 2p + 8 = 6 + -1(10p + 5) Reorder the terms: 8 + 2p = 6 + -1(10p + 5) Reorder the terms: 8 + 2p = 6 + -1(5 + 10p) 8 + 2p = 6 + (5 * -1 + 10p * -1) 8 + 2p = 6 + (-5 + -10p) Combine like terms: 6 + -5 = 1 8 + 2p = 1 + -10p Solving 8 + 2p = 1 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 8 + 2p + 10p = 1 + -10p + 10p Combine like terms: 2p + 10p = 12p 8 + 12p = 1 + -10p + 10p Combine like terms: -10p + 10p = 0 8 + 12p = 1 + 0 8 + 12p = 1 Add '-8' to each side of the equation. 8 + -8 + 12p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 12p = 1 + -8 12p = 1 + -8 Combine like terms: 1 + -8 = -7 12p = -7 Divide each side by '12'. p = -0.5833333333 Simplifying p = -0.5833333333
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