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Simplifying 6 = 2w + 42 + 2w Reorder the terms: 6 = 42 + 2w + 2w Combine like terms: 2w + 2w = 4w 6 = 42 + 4w Solving 6 = 42 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 6 + -4w = 42 + 4w + -4w Combine like terms: 4w + -4w = 0 6 + -4w = 42 + 0 6 + -4w = 42 Add '-6' to each side of the equation. 6 + -6 + -4w = 42 + -6 Combine like terms: 6 + -6 = 0 0 + -4w = 42 + -6 -4w = 42 + -6 Combine like terms: 42 + -6 = 36 -4w = 36 Divide each side by '-4'. w = -9 Simplifying w = -9
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