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Simplifying 6p + 0.5 = 2p + 1 Reorder the terms: 0.5 + 6p = 2p + 1 Reorder the terms: 0.5 + 6p = 1 + 2p Solving 0.5 + 6p = 1 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 0.5 + 6p + -2p = 1 + 2p + -2p Combine like terms: 6p + -2p = 4p 0.5 + 4p = 1 + 2p + -2p Combine like terms: 2p + -2p = 0 0.5 + 4p = 1 + 0 0.5 + 4p = 1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 4p = 1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 4p = 1 + -0.5 4p = 1 + -0.5 Combine like terms: 1 + -0.5 = 0.5 4p = 0.5 Divide each side by '4'. p = 0.125 Simplifying p = 0.125
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