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Simplifying 5w + 6 = 3w + 7 Reorder the terms: 6 + 5w = 3w + 7 Reorder the terms: 6 + 5w = 7 + 3w Solving 6 + 5w = 7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 6 + 5w + -3w = 7 + 3w + -3w Combine like terms: 5w + -3w = 2w 6 + 2w = 7 + 3w + -3w Combine like terms: 3w + -3w = 0 6 + 2w = 7 + 0 6 + 2w = 7 Add '-6' to each side of the equation. 6 + -6 + 2w = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = 7 + -6 2w = 7 + -6 Combine like terms: 7 + -6 = 1 2w = 1 Divide each side by '2'. w = 0.5 Simplifying w = 0.5
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