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Simplifying -5.4(3p + 6) + -1.1(2p + -5) = 0 Reorder the terms: -5.4(6 + 3p) + -1.1(2p + -5) = 0 (6 * -5.4 + 3p * -5.4) + -1.1(2p + -5) = 0 (-32.4 + -16.2p) + -1.1(2p + -5) = 0 Reorder the terms: -32.4 + -16.2p + -1.1(-5 + 2p) = 0 -32.4 + -16.2p + (-5 * -1.1 + 2p * -1.1) = 0 -32.4 + -16.2p + (5.5 + -2.2p) = 0 Reorder the terms: -32.4 + 5.5 + -16.2p + -2.2p = 0 Combine like terms: -32.4 + 5.5 = -26.9 -26.9 + -16.2p + -2.2p = 0 Combine like terms: -16.2p + -2.2p = -18.4p -26.9 + -18.4p = 0 Solving -26.9 + -18.4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '26.9' to each side of the equation. -26.9 + 26.9 + -18.4p = 0 + 26.9 Combine like terms: -26.9 + 26.9 = 0.0 0.0 + -18.4p = 0 + 26.9 -18.4p = 0 + 26.9 Combine like terms: 0 + 26.9 = 26.9 -18.4p = 26.9 Divide each side by '-18.4'. p = -1.461956522 Simplifying p = -1.461956522
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