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Simplifying 6p + 8 = 2(4p + -1) Reorder the terms: 8 + 6p = 2(4p + -1) Reorder the terms: 8 + 6p = 2(-1 + 4p) 8 + 6p = (-1 * 2 + 4p * 2) 8 + 6p = (-2 + 8p) Solving 8 + 6p = -2 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 8 + 6p + -8p = -2 + 8p + -8p Combine like terms: 6p + -8p = -2p 8 + -2p = -2 + 8p + -8p Combine like terms: 8p + -8p = 0 8 + -2p = -2 + 0 8 + -2p = -2 Add '-8' to each side of the equation. 8 + -8 + -2p = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2p = -2 + -8 -2p = -2 + -8 Combine like terms: -2 + -8 = -10 -2p = -10 Divide each side by '-2'. p = 5 Simplifying p = 5
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