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Simplifying 900006 + 10000w + 1000x + 100y + 10z = 400000w + 40000x + 4000y + 400z + 276 Reorder the terms: 900006 + 10000w + 1000x + 100y + 10z = 276 + 400000w + 40000x + 4000y + 400z Solving 900006 + 10000w + 1000x + 100y + 10z = 276 + 400000w + 40000x + 4000y + 400z Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-400000w' to each side of the equation. 900006 + 10000w + 1000x + 100y + -400000w + 10z = 276 + 400000w + 40000x + 4000y + -400000w + 400z Reorder the terms: 900006 + 10000w + -400000w + 1000x + 100y + 10z = 276 + 400000w + 40000x + 4000y + -400000w + 400z Combine like terms: 10000w + -400000w = -390000w 900006 + -390000w + 1000x + 100y + 10z = 276 + 400000w + 40000x + 4000y + -400000w + 400z Reorder the terms: 900006 + -390000w + 1000x + 100y + 10z = 276 + 400000w + -400000w + 40000x + 4000y + 400z Combine like terms: 400000w + -400000w = 0 900006 + -390000w + 1000x + 100y + 10z = 276 + 0 + 40000x + 4000y + 400z 900006 + -390000w + 1000x + 100y + 10z = 276 + 40000x + 4000y + 400z Add '-900006' to each side of the equation. 900006 + -390000w + 1000x + 100y + -900006 + 10z = 276 + 40000x + 4000y + -900006 + 400z Reorder the terms: 900006 + -900006 + -390000w + 1000x + 100y + 10z = 276 + 40000x + 4000y + -900006 + 400z Combine like terms: 900006 + -900006 = 0 0 + -390000w + 1000x + 100y + 10z = 276 + 40000x + 4000y + -900006 + 400z -390000w + 1000x + 100y + 10z = 276 + 40000x + 4000y + -900006 + 400z Reorder the terms: -390000w + 1000x + 100y + 10z = 276 + -900006 + 40000x + 4000y + 400z Combine like terms: 276 + -900006 = -899730 -390000w + 1000x + 100y + 10z = -899730 + 40000x + 4000y + 400z Add '-1000x' to each side of the equation. -390000w + 1000x + 100y + -1000x + 10z = -899730 + 40000x + 4000y + -1000x + 400z Reorder the terms: -390000w + 1000x + -1000x + 100y + 10z = -899730 + 40000x + 4000y + -1000x + 400z Combine like terms: 1000x + -1000x = 0 -390000w + 0 + 100y + 10z = -899730 + 40000x + 4000y + -1000x + 400z -390000w + 100y + 10z = -899730 + 40000x + 4000y + -1000x + 400z Reorder the terms: -390000w + 100y + 10z = -899730 + 40000x + -1000x + 4000y + 400z Combine like terms: 40000x + -1000x = 39000x -390000w + 100y + 10z = -899730 + 39000x + 4000y + 400z Add '-100y' to each side of the equation. -390000w + 100y + -100y + 10z = -899730 + 39000x + 4000y + -100y + 400z Combine like terms: 100y + -100y = 0 -390000w + 0 + 10z = -899730 + 39000x + 4000y + -100y + 400z -390000w + 10z = -899730 + 39000x + 4000y + -100y + 400z Combine like terms: 4000y + -100y = 3900y -390000w + 10z = -899730 + 39000x + 3900y + 400z Add '-10z' to each side of the equation. -390000w + 10z + -10z = -899730 + 39000x + 3900y + 400z + -10z Combine like terms: 10z + -10z = 0 -390000w + 0 = -899730 + 39000x + 3900y + 400z + -10z -390000w = -899730 + 39000x + 3900y + 400z + -10z Combine like terms: 400z + -10z = 390z -390000w = -899730 + 39000x + 3900y + 390z Divide each side by '-390000'. w = 2.307 + -0.1x + -0.01y + -0.001z Simplifying w = 2.307 + -0.1x + -0.01y + -0.001z
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