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Simplifying -5.4(4p + 6) + -1.7(2p + -4) = 0 Reorder the terms: -5.4(6 + 4p) + -1.7(2p + -4) = 0 (6 * -5.4 + 4p * -5.4) + -1.7(2p + -4) = 0 (-32.4 + -21.6p) + -1.7(2p + -4) = 0 Reorder the terms: -32.4 + -21.6p + -1.7(-4 + 2p) = 0 -32.4 + -21.6p + (-4 * -1.7 + 2p * -1.7) = 0 -32.4 + -21.6p + (6.8 + -3.4p) = 0 Reorder the terms: -32.4 + 6.8 + -21.6p + -3.4p = 0 Combine like terms: -32.4 + 6.8 = -25.6 -25.6 + -21.6p + -3.4p = 0 Combine like terms: -21.6p + -3.4p = -25p -25.6 + -25p = 0 Solving -25.6 + -25p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25.6' to each side of the equation. -25.6 + 25.6 + -25p = 0 + 25.6 Combine like terms: -25.6 + 25.6 = 0.0 0.0 + -25p = 0 + 25.6 -25p = 0 + 25.6 Combine like terms: 0 + 25.6 = 25.6 -25p = 25.6 Divide each side by '-25'. p = -1.024 Simplifying p = -1.024
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