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Simplifying -2(w + -7) + 12w = 34 Reorder the terms: -2(-7 + w) + 12w = 34 (-7 * -2 + w * -2) + 12w = 34 (14 + -2w) + 12w = 34 Combine like terms: -2w + 12w = 10w 14 + 10w = 34 Solving 14 + 10w = 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 + 10w = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 10w = 34 + -14 10w = 34 + -14 Combine like terms: 34 + -14 = 20 10w = 20 Divide each side by '10'. w = 2 Simplifying w = 2
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