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Simplifying -5.4(4p + 6) + -1.4(2p + -4) = 0 Reorder the terms: -5.4(6 + 4p) + -1.4(2p + -4) = 0 (6 * -5.4 + 4p * -5.4) + -1.4(2p + -4) = 0 (-32.4 + -21.6p) + -1.4(2p + -4) = 0 Reorder the terms: -32.4 + -21.6p + -1.4(-4 + 2p) = 0 -32.4 + -21.6p + (-4 * -1.4 + 2p * -1.4) = 0 -32.4 + -21.6p + (5.6 + -2.8p) = 0 Reorder the terms: -32.4 + 5.6 + -21.6p + -2.8p = 0 Combine like terms: -32.4 + 5.6 = -26.8 -26.8 + -21.6p + -2.8p = 0 Combine like terms: -21.6p + -2.8p = -24.4p -26.8 + -24.4p = 0 Solving -26.8 + -24.4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '26.8' to each side of the equation. -26.8 + 26.8 + -24.4p = 0 + 26.8 Combine like terms: -26.8 + 26.8 = 0.0 0.0 + -24.4p = 0 + 26.8 -24.4p = 0 + 26.8 Combine like terms: 0 + 26.8 = 26.8 -24.4p = 26.8 Divide each side by '-24.4'. p = -1.098360656 Simplifying p = -1.098360656
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