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Simplifying 6p + 1 = 2(2p + 1) Reorder the terms: 1 + 6p = 2(2p + 1) Reorder the terms: 1 + 6p = 2(1 + 2p) 1 + 6p = (1 * 2 + 2p * 2) 1 + 6p = (2 + 4p) Solving 1 + 6p = 2 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 1 + 6p + -4p = 2 + 4p + -4p Combine like terms: 6p + -4p = 2p 1 + 2p = 2 + 4p + -4p Combine like terms: 4p + -4p = 0 1 + 2p = 2 + 0 1 + 2p = 2 Add '-1' to each side of the equation. 1 + -1 + 2p = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = 2 + -1 2p = 2 + -1 Combine like terms: 2 + -1 = 1 2p = 1 Divide each side by '2'. p = 0.5 Simplifying p = 0.5
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