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Simplifying w + 4 = 2w + 6 Reorder the terms: 4 + w = 2w + 6 Reorder the terms: 4 + w = 6 + 2w Solving 4 + w = 6 + 2w 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. 4 + w + -2w = 6 + 2w + -2w Combine like terms: w + -2w = -1w 4 + -1w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 4 + -1w = 6 + 0 4 + -1w = 6 Add '-4' to each side of the equation. 4 + -4 + -1w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 6 + -4 -1w = 6 + -4 Combine like terms: 6 + -4 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2
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