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Simplifying -5.5(2p + 5) + -2.7(3p + -6) = 0 Reorder the terms: -5.5(5 + 2p) + -2.7(3p + -6) = 0 (5 * -5.5 + 2p * -5.5) + -2.7(3p + -6) = 0 (-27.5 + -11p) + -2.7(3p + -6) = 0 Reorder the terms: -27.5 + -11p + -2.7(-6 + 3p) = 0 -27.5 + -11p + (-6 * -2.7 + 3p * -2.7) = 0 -27.5 + -11p + (16.2 + -8.1p) = 0 Reorder the terms: -27.5 + 16.2 + -11p + -8.1p = 0 Combine like terms: -27.5 + 16.2 = -11.3 -11.3 + -11p + -8.1p = 0 Combine like terms: -11p + -8.1p = -19.1p -11.3 + -19.1p = 0 Solving -11.3 + -19.1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11.3' to each side of the equation. -11.3 + 11.3 + -19.1p = 0 + 11.3 Combine like terms: -11.3 + 11.3 = 0.0 0.0 + -19.1p = 0 + 11.3 -19.1p = 0 + 11.3 Combine like terms: 0 + 11.3 = 11.3 -19.1p = 11.3 Divide each side by '-19.1'. p = -0.5916230366 Simplifying p = -0.5916230366
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