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Simplifying -6.2(2p + 5) + -2.9(3p + -6) = 0 Reorder the terms: -6.2(5 + 2p) + -2.9(3p + -6) = 0 (5 * -6.2 + 2p * -6.2) + -2.9(3p + -6) = 0 (-31 + -12.4p) + -2.9(3p + -6) = 0 Reorder the terms: -31 + -12.4p + -2.9(-6 + 3p) = 0 -31 + -12.4p + (-6 * -2.9 + 3p * -2.9) = 0 -31 + -12.4p + (17.4 + -8.7p) = 0 Reorder the terms: -31 + 17.4 + -12.4p + -8.7p = 0 Combine like terms: -31 + 17.4 = -13.6 -13.6 + -12.4p + -8.7p = 0 Combine like terms: -12.4p + -8.7p = -21.1p -13.6 + -21.1p = 0 Solving -13.6 + -21.1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13.6' to each side of the equation. -13.6 + 13.6 + -21.1p = 0 + 13.6 Combine like terms: -13.6 + 13.6 = 0.0 0.0 + -21.1p = 0 + 13.6 -21.1p = 0 + 13.6 Combine like terms: 0 + 13.6 = 13.6 -21.1p = 13.6 Divide each side by '-21.1'. p = -0.644549763 Simplifying p = -0.644549763
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