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Simplifying 3w + w + 6 + -2w = 15 + -7 Reorder the terms: 6 + 3w + w + -2w = 15 + -7 Combine like terms: 3w + w = 4w 6 + 4w + -2w = 15 + -7 Combine like terms: 4w + -2w = 2w 6 + 2w = 15 + -7 Combine like terms: 15 + -7 = 8 6 + 2w = 8 Solving 6 + 2w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2w = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = 8 + -6 2w = 8 + -6 Combine like terms: 8 + -6 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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