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Simplifying -5.8(4p + 6) + -2.4(2p + -5) = 0 Reorder the terms: -5.8(6 + 4p) + -2.4(2p + -5) = 0 (6 * -5.8 + 4p * -5.8) + -2.4(2p + -5) = 0 (-34.8 + -23.2p) + -2.4(2p + -5) = 0 Reorder the terms: -34.8 + -23.2p + -2.4(-5 + 2p) = 0 -34.8 + -23.2p + (-5 * -2.4 + 2p * -2.4) = 0 -34.8 + -23.2p + (12 + -4.8p) = 0 Reorder the terms: -34.8 + 12 + -23.2p + -4.8p = 0 Combine like terms: -34.8 + 12 = -22.8 -22.8 + -23.2p + -4.8p = 0 Combine like terms: -23.2p + -4.8p = -28p -22.8 + -28p = 0 Solving -22.8 + -28p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '22.8' to each side of the equation. -22.8 + 22.8 + -28p = 0 + 22.8 Combine like terms: -22.8 + 22.8 = 0.0 0.0 + -28p = 0 + 22.8 -28p = 0 + 22.8 Combine like terms: 0 + 22.8 = 22.8 -28p = 22.8 Divide each side by '-28'. p = -0.8142857143 Simplifying p = -0.8142857143
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