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Simplifying -2(w + -7) + w = 34 Reorder the terms: -2(-7 + w) + w = 34 (-7 * -2 + w * -2) + w = 34 (14 + -2w) + w = 34 Combine like terms: -2w + w = -1w 14 + -1w = 34 Solving 14 + -1w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1w = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -1w = 34 + -14 -1w = 34 + -14 Combine like terms: 34 + -14 = 20 -1w = 20 Divide each side by '-1'. w = -20 Simplifying w = -20
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