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Simplifying 5w + 4 = 6w + -2 Reorder the terms: 4 + 5w = 6w + -2 Reorder the terms: 4 + 5w = -2 + 6w Solving 4 + 5w = -2 + 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 + 5w + -6w = -2 + 6w + -6w Combine like terms: 5w + -6w = -1w 4 + -1w = -2 + 6w + -6w Combine like terms: 6w + -6w = 0 4 + -1w = -2 + 0 4 + -1w = -2 Add '-4' to each side of the equation. 4 + -4 + -1w = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = -2 + -4 -1w = -2 + -4 Combine like terms: -2 + -4 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6
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