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Simplifying 2w + 2 = 4 + 6w Reorder the terms: 2 + 2w = 4 + 6w Solving 2 + 2w = 4 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 2 + 2w + -6w = 4 + 6w + -6w Combine like terms: 2w + -6w = -4w 2 + -4w = 4 + 6w + -6w Combine like terms: 6w + -6w = 0 2 + -4w = 4 + 0 2 + -4w = 4 Add '-2' to each side of the equation. 2 + -2 + -4w = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -4w = 4 + -2 -4w = 4 + -2 Combine like terms: 4 + -2 = 2 -4w = 2 Divide each side by '-4'. w = -0.5 Simplifying w = -0.5
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