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Simplifying -5.2(4p + 6) + -2.1(2p + -5) = 0 Reorder the terms: -5.2(6 + 4p) + -2.1(2p + -5) = 0 (6 * -5.2 + 4p * -5.2) + -2.1(2p + -5) = 0 (-31.2 + -20.8p) + -2.1(2p + -5) = 0 Reorder the terms: -31.2 + -20.8p + -2.1(-5 + 2p) = 0 -31.2 + -20.8p + (-5 * -2.1 + 2p * -2.1) = 0 -31.2 + -20.8p + (10.5 + -4.2p) = 0 Reorder the terms: -31.2 + 10.5 + -20.8p + -4.2p = 0 Combine like terms: -31.2 + 10.5 = -20.7 -20.7 + -20.8p + -4.2p = 0 Combine like terms: -20.8p + -4.2p = -25p -20.7 + -25p = 0 Solving -20.7 + -25p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20.7' to each side of the equation. -20.7 + 20.7 + -25p = 0 + 20.7 Combine like terms: -20.7 + 20.7 = 0.0 0.0 + -25p = 0 + 20.7 -25p = 0 + 20.7 Combine like terms: 0 + 20.7 = 20.7 -25p = 20.7 Divide each side by '-25'. p = -0.828 Simplifying p = -0.828
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