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Simplifying -13P + -6(5 + -4P) = 6(P + -2) + -8 -13P + (5 * -6 + -4P * -6) = 6(P + -2) + -8 -13P + (-30 + 24P) = 6(P + -2) + -8 Reorder the terms: -30 + -13P + 24P = 6(P + -2) + -8 Combine like terms: -13P + 24P = 11P -30 + 11P = 6(P + -2) + -8 Reorder the terms: -30 + 11P = 6(-2 + P) + -8 -30 + 11P = (-2 * 6 + P * 6) + -8 -30 + 11P = (-12 + 6P) + -8 Reorder the terms: -30 + 11P = -12 + -8 + 6P Combine like terms: -12 + -8 = -20 -30 + 11P = -20 + 6P Solving -30 + 11P = -20 + 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. -30 + 11P + -6P = -20 + 6P + -6P Combine like terms: 11P + -6P = 5P -30 + 5P = -20 + 6P + -6P Combine like terms: 6P + -6P = 0 -30 + 5P = -20 + 0 -30 + 5P = -20 Add '30' to each side of the equation. -30 + 30 + 5P = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 5P = -20 + 30 5P = -20 + 30 Combine like terms: -20 + 30 = 10 5P = 10 Divide each side by '5'. P = 2 Simplifying P = 2
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