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Simplifying 4z + 3z + 8 + 2w + -4w = 0 Reorder the terms: 8 + 2w + -4w + 4z + 3z = 0 Combine like terms: 2w + -4w = -2w 8 + -2w + 4z + 3z = 0 Combine like terms: 4z + 3z = 7z 8 + -2w + 7z = 0 Solving 8 + -2w + 7z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2w + -8 + 7z = 0 + -8 Reorder the terms: 8 + -8 + -2w + 7z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2w + 7z = 0 + -8 -2w + 7z = 0 + -8 Combine like terms: 0 + -8 = -8 -2w + 7z = -8 Add '-7z' to each side of the equation. -2w + 7z + -7z = -8 + -7z Combine like terms: 7z + -7z = 0 -2w + 0 = -8 + -7z -2w = -8 + -7z Divide each side by '-2'. w = 4 + 3.5z Simplifying w = 4 + 3.5z
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