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Simplifying 4w + -14 = 2w + 4 Reorder the terms: -14 + 4w = 2w + 4 Reorder the terms: -14 + 4w = 4 + 2w Solving -14 + 4w = 4 + 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. -14 + 4w + -2w = 4 + 2w + -2w Combine like terms: 4w + -2w = 2w -14 + 2w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 -14 + 2w = 4 + 0 -14 + 2w = 4 Add '14' to each side of the equation. -14 + 14 + 2w = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 2w = 4 + 14 2w = 4 + 14 Combine like terms: 4 + 14 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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