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Simplifying w + 2 = 16 + -6w Reorder the terms: 2 + w = 16 + -6w Solving 2 + w = 16 + -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 + w + 6w = 16 + -6w + 6w Combine like terms: w + 6w = 7w 2 + 7w = 16 + -6w + 6w Combine like terms: -6w + 6w = 0 2 + 7w = 16 + 0 2 + 7w = 16 Add '-2' to each side of the equation. 2 + -2 + 7w = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 16 + -2 7w = 16 + -2 Combine like terms: 16 + -2 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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