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Simplifying 24.2 + -18.5P = 6.6P + -1.9(9P + 2) Reorder the terms: 24.2 + -18.5P = 6.6P + -1.9(2 + 9P) 24.2 + -18.5P = 6.6P + (2 * -1.9 + 9P * -1.9) 24.2 + -18.5P = 6.6P + (-3.8 + -17.1P) Reorder the terms: 24.2 + -18.5P = -3.8 + 6.6P + -17.1P Combine like terms: 6.6P + -17.1P = -10.5P 24.2 + -18.5P = -3.8 + -10.5P Solving 24.2 + -18.5P = -3.8 + -10.5P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '10.5P' to each side of the equation. 24.2 + -18.5P + 10.5P = -3.8 + -10.5P + 10.5P Combine like terms: -18.5P + 10.5P = -8P 24.2 + -8P = -3.8 + -10.5P + 10.5P Combine like terms: -10.5P + 10.5P = 0.0 24.2 + -8P = -3.8 + 0.0 24.2 + -8P = -3.8 Add '-24.2' to each side of the equation. 24.2 + -24.2 + -8P = -3.8 + -24.2 Combine like terms: 24.2 + -24.2 = 0.0 0.0 + -8P = -3.8 + -24.2 -8P = -3.8 + -24.2 Combine like terms: -3.8 + -24.2 = -28 -8P = -28 Divide each side by '-8'. P = 3.5 Simplifying P = 3.5
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