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Simplifying -25P + -6(2 + -6P) = 6(P + -6) + -21 -25P + (2 * -6 + -6P * -6) = 6(P + -6) + -21 -25P + (-12 + 36P) = 6(P + -6) + -21 Reorder the terms: -12 + -25P + 36P = 6(P + -6) + -21 Combine like terms: -25P + 36P = 11P -12 + 11P = 6(P + -6) + -21 Reorder the terms: -12 + 11P = 6(-6 + P) + -21 -12 + 11P = (-6 * 6 + P * 6) + -21 -12 + 11P = (-36 + 6P) + -21 Reorder the terms: -12 + 11P = -36 + -21 + 6P Combine like terms: -36 + -21 = -57 -12 + 11P = -57 + 6P Solving -12 + 11P = -57 + 6P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-6P' to each side of the equation. -12 + 11P + -6P = -57 + 6P + -6P Combine like terms: 11P + -6P = 5P -12 + 5P = -57 + 6P + -6P Combine like terms: 6P + -6P = 0 -12 + 5P = -57 + 0 -12 + 5P = -57 Add '12' to each side of the equation. -12 + 12 + 5P = -57 + 12 Combine like terms: -12 + 12 = 0 0 + 5P = -57 + 12 5P = -57 + 12 Combine like terms: -57 + 12 = -45 5P = -45 Divide each side by '5'. P = -9 Simplifying P = -9
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