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Simplifying -0.14P + -0.04(2 + -6p) = 0.05(p + -6) + -0.23 -0.14P + (2 * -0.04 + -6p * -0.04) = 0.05(p + -6) + -0.23 -0.14P + (-0.08 + 0.24p) = 0.05(p + -6) + -0.23 Reorder the terms: -0.08 + -0.14P + 0.24p = 0.05(p + -6) + -0.23 Reorder the terms: -0.08 + -0.14P + 0.24p = 0.05(-6 + p) + -0.23 -0.08 + -0.14P + 0.24p = (-6 * 0.05 + p * 0.05) + -0.23 -0.08 + -0.14P + 0.24p = (-0.3 + 0.05p) + -0.23 Reorder the terms: -0.08 + -0.14P + 0.24p = -0.3 + -0.23 + 0.05p Combine like terms: -0.3 + -0.23 = -0.53 -0.08 + -0.14P + 0.24p = -0.53 + 0.05p Solving -0.08 + -0.14P + 0.24p = -0.53 + 0.05p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '0.08' to each side of the equation. -0.08 + -0.14P + 0.08 + 0.24p = -0.53 + 0.08 + 0.05p Reorder the terms: -0.08 + 0.08 + -0.14P + 0.24p = -0.53 + 0.08 + 0.05p Combine like terms: -0.08 + 0.08 = 0.00 0.00 + -0.14P + 0.24p = -0.53 + 0.08 + 0.05p -0.14P + 0.24p = -0.53 + 0.08 + 0.05p Combine like terms: -0.53 + 0.08 = -0.45 -0.14P + 0.24p = -0.45 + 0.05p Add '-0.24p' to each side of the equation. -0.14P + 0.24p + -0.24p = -0.45 + 0.05p + -0.24p Combine like terms: 0.24p + -0.24p = 0.00 -0.14P + 0.00 = -0.45 + 0.05p + -0.24p -0.14P = -0.45 + 0.05p + -0.24p Combine like terms: 0.05p + -0.24p = -0.19p -0.14P = -0.45 + -0.19p Divide each side by '-0.14'. P = 3.214285714 + 1.357142857p Simplifying P = 3.214285714 + 1.357142857p
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