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