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Simplifying 7w + 4 + -2 = 6w + 4 Reorder the terms: 4 + -2 + 7w = 6w + 4 Combine like terms: 4 + -2 = 2 2 + 7w = 6w + 4 Reorder the terms: 2 + 7w = 4 + 6w Solving 2 + 7w = 4 + 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 + 7w + -6w = 4 + 6w + -6w Combine like terms: 7w + -6w = 1w 2 + 1w = 4 + 6w + -6w Combine like terms: 6w + -6w = 0 2 + 1w = 4 + 0 2 + 1w = 4 Add '-2' to each side of the equation. 2 + -2 + 1w = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 1w = 4 + -2 1w = 4 + -2 Combine like terms: 4 + -2 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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