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Simplifying 2w + 6 + 4w = 114 Reorder the terms: 6 + 2w + 4w = 114 Combine like terms: 2w + 4w = 6w 6 + 6w = 114 Solving 6 + 6w = 114 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6w = 114 + -6 Combine like terms: 6 + -6 = 0 0 + 6w = 114 + -6 6w = 114 + -6 Combine like terms: 114 + -6 = 108 6w = 108 Divide each side by '6'. w = 18 Simplifying w = 18
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