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Simplifying 6w + -5 + -3w = w + 10 Reorder the terms: -5 + 6w + -3w = w + 10 Combine like terms: 6w + -3w = 3w -5 + 3w = w + 10 Reorder the terms: -5 + 3w = 10 + w Solving -5 + 3w = 10 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -5 + 3w + -1w = 10 + w + -1w Combine like terms: 3w + -1w = 2w -5 + 2w = 10 + w + -1w Combine like terms: w + -1w = 0 -5 + 2w = 10 + 0 -5 + 2w = 10 Add '5' to each side of the equation. -5 + 5 + 2w = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 2w = 10 + 5 2w = 10 + 5 Combine like terms: 10 + 5 = 15 2w = 15 Divide each side by '2'. w = 7.5 Simplifying w = 7.5
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