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Simplifying -1(W + 0.2) = 0.3(4 + -1w)(Y + 3) Reorder the terms: -1(0.2 + W) = 0.3(4 + -1w)(Y + 3) (0.2 * -1 + W * -1) = 0.3(4 + -1w)(Y + 3) (-0.2 + -1W) = 0.3(4 + -1w)(Y + 3) Reorder the terms: -0.2 + -1W = 0.3(4 + -1w)(3 + Y) Multiply (4 + -1w) * (3 + Y) -0.2 + -1W = 0.3(4(3 + Y) + -1w * (3 + Y)) -0.2 + -1W = 0.3((3 * 4 + Y * 4) + -1w * (3 + Y)) -0.2 + -1W = 0.3((12 + 4Y) + -1w * (3 + Y)) -0.2 + -1W = 0.3(12 + 4Y + (3 * -1w + Y * -1w)) -0.2 + -1W = 0.3(12 + 4Y + (-3w + -1wY)) -0.2 + -1W = 0.3(12 + 4Y + -3w + -1wY) -0.2 + -1W = (12 * 0.3 + 4Y * 0.3 + -3w * 0.3 + -1wY * 0.3) -0.2 + -1W = (3.6 + 1.2Y + -0.9w + -0.3wY) Solving -0.2 + -1W = 3.6 + 1.2Y + -0.9w + -0.3wY Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + -1W = 3.6 + 1.2Y + -0.9w + 0.2 + -0.3wY Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -1W = 3.6 + 1.2Y + -0.9w + 0.2 + -0.3wY -1W = 3.6 + 1.2Y + -0.9w + 0.2 + -0.3wY Reorder the terms: -1W = 3.6 + 0.2 + 1.2Y + -0.9w + -0.3wY Combine like terms: 3.6 + 0.2 = 3.8 -1W = 3.8 + 1.2Y + -0.9w + -0.3wY Divide each side by '-1'. W = -3.8 + -1.2Y + 0.9w + 0.3wY Simplifying W = -3.8 + -1.2Y + 0.9w + 0.3wY
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