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Simplifying X + -3Y + Z + 2W = 12 Reorder the terms: 2W + X + -3Y + Z = 12 Solving 2W + X + -3Y + Z = 12 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-1X' to each side of the equation. 2W + X + -3Y + -1X + Z = 12 + -1X Reorder the terms: 2W + X + -1X + -3Y + Z = 12 + -1X Combine like terms: X + -1X = 0 2W + 0 + -3Y + Z = 12 + -1X 2W + -3Y + Z = 12 + -1X Add '3Y' to each side of the equation. 2W + -3Y + 3Y + Z = 12 + -1X + 3Y Combine like terms: -3Y + 3Y = 0 2W + 0 + Z = 12 + -1X + 3Y 2W + Z = 12 + -1X + 3Y Add '-1Z' to each side of the equation. 2W + Z + -1Z = 12 + -1X + 3Y + -1Z Combine like terms: Z + -1Z = 0 2W + 0 = 12 + -1X + 3Y + -1Z 2W = 12 + -1X + 3Y + -1Z Divide each side by '2'. W = 6 + -0.5X + 1.5Y + -0.5Z Simplifying W = 6 + -0.5X + 1.5Y + -0.5Z
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