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Simplifying -5.6(4p + 6) + -2.4(3p + -5) = 0 Reorder the terms: -5.6(6 + 4p) + -2.4(3p + -5) = 0 (6 * -5.6 + 4p * -5.6) + -2.4(3p + -5) = 0 (-33.6 + -22.4p) + -2.4(3p + -5) = 0 Reorder the terms: -33.6 + -22.4p + -2.4(-5 + 3p) = 0 -33.6 + -22.4p + (-5 * -2.4 + 3p * -2.4) = 0 -33.6 + -22.4p + (12 + -7.2p) = 0 Reorder the terms: -33.6 + 12 + -22.4p + -7.2p = 0 Combine like terms: -33.6 + 12 = -21.6 -21.6 + -22.4p + -7.2p = 0 Combine like terms: -22.4p + -7.2p = -29.6p -21.6 + -29.6p = 0 Solving -21.6 + -29.6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21.6' to each side of the equation. -21.6 + 21.6 + -29.6p = 0 + 21.6 Combine like terms: -21.6 + 21.6 = 0.0 0.0 + -29.6p = 0 + 21.6 -29.6p = 0 + 21.6 Combine like terms: 0 + 21.6 = 21.6 -29.6p = 21.6 Divide each side by '-29.6'. p = -0.7297297297 Simplifying p = -0.7297297297
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