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Simplifying -2w + 7 = -1w Reorder the terms: 7 + -2w = -1w Solving 7 + -2w = -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. 7 + -2w + w = -1w + w Combine like terms: -2w + w = -1w 7 + -1w = -1w + w Combine like terms: -1w + w = 0 7 + -1w = 0 Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7
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