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Simplifying 0.5(4p + 6) = 8p Reorder the terms: 0.5(6 + 4p) = 8p (6 * 0.5 + 4p * 0.5) = 8p (3 + 2p) = 8p Solving 3 + 2p = 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. 3 + 2p + -8p = 8p + -8p Combine like terms: 2p + -8p = -6p 3 + -6p = 8p + -8p Combine like terms: 8p + -8p = 0 3 + -6p = 0 Add '-3' to each side of the equation. 3 + -3 + -6p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6p = 0 + -3 -6p = 0 + -3 Combine like terms: 0 + -3 = -3 -6p = -3 Divide each side by '-6'. p = 0.5 Simplifying p = 0.5
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