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Simplifying -6.1(4p + 6) + -1.6(3p + -5) = 0 Reorder the terms: -6.1(6 + 4p) + -1.6(3p + -5) = 0 (6 * -6.1 + 4p * -6.1) + -1.6(3p + -5) = 0 (-36.6 + -24.4p) + -1.6(3p + -5) = 0 Reorder the terms: -36.6 + -24.4p + -1.6(-5 + 3p) = 0 -36.6 + -24.4p + (-5 * -1.6 + 3p * -1.6) = 0 -36.6 + -24.4p + (8 + -4.8p) = 0 Reorder the terms: -36.6 + 8 + -24.4p + -4.8p = 0 Combine like terms: -36.6 + 8 = -28.6 -28.6 + -24.4p + -4.8p = 0 Combine like terms: -24.4p + -4.8p = -29.2p -28.6 + -29.2p = 0 Solving -28.6 + -29.2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28.6' to each side of the equation. -28.6 + 28.6 + -29.2p = 0 + 28.6 Combine like terms: -28.6 + 28.6 = 0.0 0.0 + -29.2p = 0 + 28.6 -29.2p = 0 + 28.6 Combine like terms: 0 + 28.6 = 28.6 -29.2p = 28.6 Divide each side by '-29.2'. p = -0.9794520548 Simplifying p = -0.9794520548
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