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Simplifying 0.3(6p + -24) = 18 + 3p Reorder the terms: 0.3(-24 + 6p) = 18 + 3p (-24 * 0.3 + 6p * 0.3) = 18 + 3p (-7.2 + 1.8p) = 18 + 3p Solving -7.2 + 1.8p = 18 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -7.2 + 1.8p + -3p = 18 + 3p + -3p Combine like terms: 1.8p + -3p = -1.2p -7.2 + -1.2p = 18 + 3p + -3p Combine like terms: 3p + -3p = 0 -7.2 + -1.2p = 18 + 0 -7.2 + -1.2p = 18 Add '7.2' to each side of the equation. -7.2 + 7.2 + -1.2p = 18 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + -1.2p = 18 + 7.2 -1.2p = 18 + 7.2 Combine like terms: 18 + 7.2 = 25.2 -1.2p = 25.2 Divide each side by '-1.2'. p = -21 Simplifying p = -21
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