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Simplifying 0.4(p + -24) = 1.2p Reorder the terms: 0.4(-24 + p) = 1.2p (-24 * 0.4 + p * 0.4) = 1.2p (-9.6 + 0.4p) = 1.2p Solving -9.6 + 0.4p = 1.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.2p' to each side of the equation. -9.6 + 0.4p + -1.2p = 1.2p + -1.2p Combine like terms: 0.4p + -1.2p = -0.8p -9.6 + -0.8p = 1.2p + -1.2p Combine like terms: 1.2p + -1.2p = 0.0 -9.6 + -0.8p = 0.0 Add '9.6' to each side of the equation. -9.6 + 9.6 + -0.8p = 0.0 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + -0.8p = 0.0 + 9.6 -0.8p = 0.0 + 9.6 Combine like terms: 0.0 + 9.6 = 9.6 -0.8p = 9.6 Divide each side by '-0.8'. p = -12 Simplifying p = -12
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