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Simplifying 6w + 4 = 7w + 8 Reorder the terms: 4 + 6w = 7w + 8 Reorder the terms: 4 + 6w = 8 + 7w Solving 4 + 6w = 8 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 4 + 6w + -7w = 8 + 7w + -7w Combine like terms: 6w + -7w = -1w 4 + -1w = 8 + 7w + -7w Combine like terms: 7w + -7w = 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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