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Simplifying 5w + 8 = 6w + 5 Reorder the terms: 8 + 5w = 6w + 5 Reorder the terms: 8 + 5w = 5 + 6w Solving 8 + 5w = 5 + 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. 8 + 5w + -6w = 5 + 6w + -6w Combine like terms: 5w + -6w = -1w 8 + -1w = 5 + 6w + -6w Combine like terms: 6w + -6w = 0 8 + -1w = 5 + 0 8 + -1w = 5 Add '-8' to each side of the equation. 8 + -8 + -1w = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 5 + -8 -1w = 5 + -8 Combine like terms: 5 + -8 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3
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