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Simplifying -3(5P + 6) + -2(5 + -11P) = 3(8 + 2P) Reorder the terms: -3(6 + 5P) + -2(5 + -11P) = 3(8 + 2P) (6 * -3 + 5P * -3) + -2(5 + -11P) = 3(8 + 2P) (-18 + -15P) + -2(5 + -11P) = 3(8 + 2P) -18 + -15P + (5 * -2 + -11P * -2) = 3(8 + 2P) -18 + -15P + (-10 + 22P) = 3(8 + 2P) Reorder the terms: -18 + -10 + -15P + 22P = 3(8 + 2P) Combine like terms: -18 + -10 = -28 -28 + -15P + 22P = 3(8 + 2P) Combine like terms: -15P + 22P = 7P -28 + 7P = 3(8 + 2P) -28 + 7P = (8 * 3 + 2P * 3) -28 + 7P = (24 + 6P) Solving -28 + 7P = 24 + 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. -28 + 7P + -6P = 24 + 6P + -6P Combine like terms: 7P + -6P = 1P -28 + 1P = 24 + 6P + -6P Combine like terms: 6P + -6P = 0 -28 + 1P = 24 + 0 -28 + 1P = 24 Add '28' to each side of the equation. -28 + 28 + 1P = 24 + 28 Combine like terms: -28 + 28 = 0 0 + 1P = 24 + 28 1P = 24 + 28 Combine like terms: 24 + 28 = 52 1P = 52 Divide each side by '1'. P = 52 Simplifying P = 52
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