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Simplifying p + -3(2.8 + 4p) = -7.8 + -11.2p p + (2.8 * -3 + 4p * -3) = -7.8 + -11.2p p + (-8.4 + -12p) = -7.8 + -11.2p Reorder the terms: -8.4 + p + -12p = -7.8 + -11.2p Combine like terms: p + -12p = -11p -8.4 + -11p = -7.8 + -11.2p Solving -8.4 + -11p = -7.8 + -11.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11.2p' to each side of the equation. -8.4 + -11p + 11.2p = -7.8 + -11.2p + 11.2p Combine like terms: -11p + 11.2p = 0.2p -8.4 + 0.2p = -7.8 + -11.2p + 11.2p Combine like terms: -11.2p + 11.2p = 0.0 -8.4 + 0.2p = -7.8 + 0.0 -8.4 + 0.2p = -7.8 Add '8.4' to each side of the equation. -8.4 + 8.4 + 0.2p = -7.8 + 8.4 Combine like terms: -8.4 + 8.4 = 0.0 0.0 + 0.2p = -7.8 + 8.4 0.2p = -7.8 + 8.4 Combine like terms: -7.8 + 8.4 = 0.6 0.2p = 0.6 Divide each side by '0.2'. p = 3 Simplifying p = 3
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