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Simplifying 5w + -8 = 3w + 6 Reorder the terms: -8 + 5w = 3w + 6 Reorder the terms: -8 + 5w = 6 + 3w Solving -8 + 5w = 6 + 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. -8 + 5w + -3w = 6 + 3w + -3w Combine like terms: 5w + -3w = 2w -8 + 2w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 2w = 6 + 0 -8 + 2w = 6 Add '8' to each side of the equation. -8 + 8 + 2w = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2w = 6 + 8 2w = 6 + 8 Combine like terms: 6 + 8 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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