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Simplifying x + y + -1z + 5w = 12 Reorder the terms: 5w + x + y + -1z = 12 Solving 5w + x + y + -1z = 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. 5w + x + y + -1x + -1z = 12 + -1x Reorder the terms: 5w + x + -1x + y + -1z = 12 + -1x Combine like terms: x + -1x = 0 5w + 0 + y + -1z = 12 + -1x 5w + y + -1z = 12 + -1x Add '-1y' to each side of the equation. 5w + y + -1y + -1z = 12 + -1x + -1y Combine like terms: y + -1y = 0 5w + 0 + -1z = 12 + -1x + -1y 5w + -1z = 12 + -1x + -1y Add 'z' to each side of the equation. 5w + -1z + z = 12 + -1x + -1y + z Combine like terms: -1z + z = 0 5w + 0 = 12 + -1x + -1y + z 5w = 12 + -1x + -1y + z Divide each side by '5'. w = 2.4 + -0.2x + -0.2y + 0.2z Simplifying w = 2.4 + -0.2x + -0.2y + 0.2z
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