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Simplifying 3w + -4z + 8 = 2w + 3z + -6 Reorder the terms: 8 + 3w + -4z = 2w + 3z + -6 Reorder the terms: 8 + 3w + -4z = -6 + 2w + 3z Solving 8 + 3w + -4z = -6 + 2w + 3z Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 8 + 3w + -2w + -4z = -6 + 2w + -2w + 3z Combine like terms: 3w + -2w = 1w 8 + 1w + -4z = -6 + 2w + -2w + 3z Combine like terms: 2w + -2w = 0 8 + 1w + -4z = -6 + 0 + 3z 8 + 1w + -4z = -6 + 3z Add '-8' to each side of the equation. 8 + 1w + -8 + -4z = -6 + -8 + 3z Reorder the terms: 8 + -8 + 1w + -4z = -6 + -8 + 3z Combine like terms: 8 + -8 = 0 0 + 1w + -4z = -6 + -8 + 3z 1w + -4z = -6 + -8 + 3z Combine like terms: -6 + -8 = -14 1w + -4z = -14 + 3z Add '4z' to each side of the equation. 1w + -4z + 4z = -14 + 3z + 4z Combine like terms: -4z + 4z = 0 1w + 0 = -14 + 3z + 4z 1w = -14 + 3z + 4z Combine like terms: 3z + 4z = 7z 1w = -14 + 7z Divide each side by '1'. w = -14 + 7z Simplifying w = -14 + 7z
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