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Simplifying -13p + -6(5 + -4P) = 6(p + -5) + -10 -13p + (5 * -6 + -4P * -6) = 6(p + -5) + -10 -13p + (-30 + 24P) = 6(p + -5) + -10 Reorder the terms: -30 + 24P + -13p = 6(p + -5) + -10 Reorder the terms: -30 + 24P + -13p = 6(-5 + p) + -10 -30 + 24P + -13p = (-5 * 6 + p * 6) + -10 -30 + 24P + -13p = (-30 + 6p) + -10 Reorder the terms: -30 + 24P + -13p = -30 + -10 + 6p Combine like terms: -30 + -10 = -40 -30 + 24P + -13p = -40 + 6p Solving -30 + 24P + -13p = -40 + 6p 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 = -40 + 30 + 6p Reorder the terms: -30 + 30 + 24P + -13p = -40 + 30 + 6p Combine like terms: -30 + 30 = 0 0 + 24P + -13p = -40 + 30 + 6p 24P + -13p = -40 + 30 + 6p Combine like terms: -40 + 30 = -10 24P + -13p = -10 + 6p Add '13p' to each side of the equation. 24P + -13p + 13p = -10 + 6p + 13p Combine like terms: -13p + 13p = 0 24P + 0 = -10 + 6p + 13p 24P = -10 + 6p + 13p Combine like terms: 6p + 13p = 19p 24P = -10 + 19p Divide each side by '24'. P = -0.4166666667 + 0.7916666667p Simplifying P = -0.4166666667 + 0.7916666667p
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