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Simplifying 4w + 6 = 5w + -2 Reorder the terms: 6 + 4w = 5w + -2 Reorder the terms: 6 + 4w = -2 + 5w Solving 6 + 4w = -2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 6 + 4w + -5w = -2 + 5w + -5w Combine like terms: 4w + -5w = -1w 6 + -1w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 6 + -1w = -2 + 0 6 + -1w = -2 Add '-6' to each side of the equation. 6 + -6 + -1w = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = -2 + -6 -1w = -2 + -6 Combine like terms: -2 + -6 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8
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