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Simplifying -6.2(3p + 5) + -2.1(4p + -6) = 0 Reorder the terms: -6.2(5 + 3p) + -2.1(4p + -6) = 0 (5 * -6.2 + 3p * -6.2) + -2.1(4p + -6) = 0 (-31 + -18.6p) + -2.1(4p + -6) = 0 Reorder the terms: -31 + -18.6p + -2.1(-6 + 4p) = 0 -31 + -18.6p + (-6 * -2.1 + 4p * -2.1) = 0 -31 + -18.6p + (12.6 + -8.4p) = 0 Reorder the terms: -31 + 12.6 + -18.6p + -8.4p = 0 Combine like terms: -31 + 12.6 = -18.4 -18.4 + -18.6p + -8.4p = 0 Combine like terms: -18.6p + -8.4p = -27p -18.4 + -27p = 0 Solving -18.4 + -27p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18.4' to each side of the equation. -18.4 + 18.4 + -27p = 0 + 18.4 Combine like terms: -18.4 + 18.4 = 0.0 0.0 + -27p = 0 + 18.4 -27p = 0 + 18.4 Combine like terms: 0 + 18.4 = 18.4 -27p = 18.4 Divide each side by '-27'. p = -0.6814814815 Simplifying p = -0.6814814815
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