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Simplifying 2w + -6 + 5 = 3w + -1 Reorder the terms: -6 + 5 + 2w = 3w + -1 Combine like terms: -6 + 5 = -1 -1 + 2w = 3w + -1 Reorder the terms: -1 + 2w = -1 + 3w Add '1' to each side of the equation. -1 + 1 + 2w = -1 + 1 + 3w Combine like terms: -1 + 1 = 0 0 + 2w = -1 + 1 + 3w 2w = -1 + 1 + 3w Combine like terms: -1 + 1 = 0 2w = 0 + 3w 2w = 3w Solving 2w = 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. 2w + -3w = 3w + -3w Combine like terms: 2w + -3w = -1w -1w = 3w + -3w Combine like terms: 3w + -3w = 0 -1w = 0 Divide each side by '-1'. w = 0 Simplifying w = 0
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