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Simplifying -6(5P + 3) + -42 = 2(3P + 6) Reorder the terms: -6(3 + 5P) + -42 = 2(3P + 6) (3 * -6 + 5P * -6) + -42 = 2(3P + 6) (-18 + -30P) + -42 = 2(3P + 6) Reorder the terms: -18 + -42 + -30P = 2(3P + 6) Combine like terms: -18 + -42 = -60 -60 + -30P = 2(3P + 6) Reorder the terms: -60 + -30P = 2(6 + 3P) -60 + -30P = (6 * 2 + 3P * 2) -60 + -30P = (12 + 6P) Solving -60 + -30P = 12 + 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. -60 + -30P + -6P = 12 + 6P + -6P Combine like terms: -30P + -6P = -36P -60 + -36P = 12 + 6P + -6P Combine like terms: 6P + -6P = 0 -60 + -36P = 12 + 0 -60 + -36P = 12 Add '60' to each side of the equation. -60 + 60 + -36P = 12 + 60 Combine like terms: -60 + 60 = 0 0 + -36P = 12 + 60 -36P = 12 + 60 Combine like terms: 12 + 60 = 72 -36P = 72 Divide each side by '-36'. P = -2 Simplifying P = -2
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