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Simplifying 6w + -15 + 2w = -1w + 3 Reorder the terms: -15 + 6w + 2w = -1w + 3 Combine like terms: 6w + 2w = 8w -15 + 8w = -1w + 3 Reorder the terms: -15 + 8w = 3 + -1w Solving -15 + 8w = 3 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -15 + 8w + w = 3 + -1w + w Combine like terms: 8w + w = 9w -15 + 9w = 3 + -1w + w Combine like terms: -1w + w = 0 -15 + 9w = 3 + 0 -15 + 9w = 3 Add '15' to each side of the equation. -15 + 15 + 9w = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 9w = 3 + 15 9w = 3 + 15 Combine like terms: 3 + 15 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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