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Simplifying 8w + -1(4W + 2X) = 0 8w + (4W * -1 + 2X * -1) = 0 8w + (-4W + -2X) = 0 Reorder the terms: -4W + -2X + 8w = 0 Solving -4W + -2X + 8w = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '2X' to each side of the equation. -4W + -2X + 2X + 8w = 0 + 2X Combine like terms: -2X + 2X = 0 -4W + 0 + 8w = 0 + 2X -4W + 8w = 0 + 2X Remove the zero: -4W + 8w = 2X Add '-8w' to each side of the equation. -4W + 8w + -8w = 2X + -8w Combine like terms: 8w + -8w = 0 -4W + 0 = 2X + -8w -4W = 2X + -8w Divide each side by '-4'. W = -0.5X + 2w Simplifying W = -0.5X + 2w
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