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Simplifying -1(4w3 + -1z + 1) + 2(w3 + -3z) = 0 Reorder the terms: -1(1 + 4w3 + -1z) + 2(w3 + -3z) = 0 (1 * -1 + 4w3 * -1 + -1z * -1) + 2(w3 + -3z) = 0 (-1 + -4w3 + 1z) + 2(w3 + -3z) = 0 -1 + -4w3 + 1z + (w3 * 2 + -3z * 2) = 0 -1 + -4w3 + 1z + (2w3 + -6z) = 0 Reorder the terms: -1 + -4w3 + 2w3 + 1z + -6z = 0 Combine like terms: -4w3 + 2w3 = -2w3 -1 + -2w3 + 1z + -6z = 0 Combine like terms: 1z + -6z = -5z -1 + -2w3 + -5z = 0 Solving -1 + -2w3 + -5z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2w3 + 1 + -5z = 0 + 1 Reorder the terms: -1 + 1 + -2w3 + -5z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2w3 + -5z = 0 + 1 -2w3 + -5z = 0 + 1 Combine like terms: 0 + 1 = 1 -2w3 + -5z = 1 Add '5z' to each side of the equation. -2w3 + -5z + 5z = 1 + 5z Combine like terms: -5z + 5z = 0 -2w3 + 0 = 1 + 5z -2w3 = 1 + 5z Divide each side by '-2'. w3 = -0.5 + -2.5z Simplifying w3 = -0.5 + -2.5z Reorder the terms: 0.5 + w3 + 2.5z = -0.5 + -2.5z + 0.5 + 2.5z Reorder the terms: 0.5 + w3 + 2.5z = -0.5 + 0.5 + -2.5z + 2.5z Combine like terms: -0.5 + 0.5 = 0.0 0.5 + w3 + 2.5z = 0.0 + -2.5z + 2.5z 0.5 + w3 + 2.5z = -2.5z + 2.5z Combine like terms: -2.5z + 2.5z = 0.0 0.5 + w3 + 2.5z = 0.0 The solution to this equation could not be determined.
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