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Simplifying -13p + -6(5 + -4P) = 6(-2) + -8 -13p + (5 * -6 + -4P * -6) = 6(-2) + -8 -13p + (-30 + 24P) = 6(-2) + -8 Reorder the terms: -30 + 24P + -13p = 6(-2) + -8 Multiply 6 * -2 -30 + 24P + -13p = -12 + -8 Combine like terms: -12 + -8 = -20 -30 + 24P + -13p = -20 Solving -30 + 24P + -13p = -20 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 24P + 30 + -13p = -20 + 30 Reorder the terms: -30 + 30 + 24P + -13p = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 24P + -13p = -20 + 30 24P + -13p = -20 + 30 Combine like terms: -20 + 30 = 10 24P + -13p = 10 Add '13p' to each side of the equation. 24P + -13p + 13p = 10 + 13p Combine like terms: -13p + 13p = 0 24P + 0 = 10 + 13p 24P = 10 + 13p Divide each side by '24'. P = 0.4166666667 + 0.5416666667p Simplifying P = 0.4166666667 + 0.5416666667p
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