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