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Simplifying 7w + 4 = 6w + 8 Reorder the terms: 4 + 7w = 6w + 8 Reorder the terms: 4 + 7w = 8 + 6w Solving 4 + 7w = 8 + 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. 4 + 7w + -6w = 8 + 6w + -6w Combine like terms: 7w + -6w = 1w 4 + 1w = 8 + 6w + -6w Combine like terms: 6w + -6w = 0 4 + 1w = 8 + 0 4 + 1w = 8 Add '-4' to each side of the equation. 4 + -4 + 1w = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1w = 8 + -4 1w = 8 + -4 Combine like terms: 8 + -4 = 4 1w = 4 Divide each side by '1'. w = 4 Simplifying w = 4
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