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Simplifying 4w + 6 = 2w + 14 Reorder the terms: 6 + 4w = 2w + 14 Reorder the terms: 6 + 4w = 14 + 2w Solving 6 + 4w = 14 + 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. 6 + 4w + -2w = 14 + 2w + -2w Combine like terms: 4w + -2w = 2w 6 + 2w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + 2w = 14 + 0 6 + 2w = 14 Add '-6' to each side of the equation. 6 + -6 + 2w = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = 14 + -6 2w = 14 + -6 Combine like terms: 14 + -6 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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