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Simplifying 0.6(p + -2) = 0.4p + 12 Reorder the terms: 0.6(-2 + p) = 0.4p + 12 (-2 * 0.6 + p * 0.6) = 0.4p + 12 (-1.2 + 0.6p) = 0.4p + 12 Reorder the terms: -1.2 + 0.6p = 12 + 0.4p Solving -1.2 + 0.6p = 12 + 0.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.4p' to each side of the equation. -1.2 + 0.6p + -0.4p = 12 + 0.4p + -0.4p Combine like terms: 0.6p + -0.4p = 0.2p -1.2 + 0.2p = 12 + 0.4p + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 -1.2 + 0.2p = 12 + 0.0 -1.2 + 0.2p = 12 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.2p = 12 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.2p = 12 + 1.2 0.2p = 12 + 1.2 Combine like terms: 12 + 1.2 = 13.2 0.2p = 13.2 Divide each side by '0.2'. p = 66 Simplifying p = 66
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