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Simplifying -5.8(2p + 5) + -2.4(3p + -6) = 0 Reorder the terms: -5.8(5 + 2p) + -2.4(3p + -6) = 0 (5 * -5.8 + 2p * -5.8) + -2.4(3p + -6) = 0 (-29 + -11.6p) + -2.4(3p + -6) = 0 Reorder the terms: -29 + -11.6p + -2.4(-6 + 3p) = 0 -29 + -11.6p + (-6 * -2.4 + 3p * -2.4) = 0 -29 + -11.6p + (14.4 + -7.2p) = 0 Reorder the terms: -29 + 14.4 + -11.6p + -7.2p = 0 Combine like terms: -29 + 14.4 = -14.6 -14.6 + -11.6p + -7.2p = 0 Combine like terms: -11.6p + -7.2p = -18.8p -14.6 + -18.8p = 0 Solving -14.6 + -18.8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14.6' to each side of the equation. -14.6 + 14.6 + -18.8p = 0 + 14.6 Combine like terms: -14.6 + 14.6 = 0.0 0.0 + -18.8p = 0 + 14.6 -18.8p = 0 + 14.6 Combine like terms: 0 + 14.6 = 14.6 -18.8p = 14.6 Divide each side by '-18.8'. p = -0.7765957447 Simplifying p = -0.7765957447
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