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Simplifying -6w + 2(w + 7) = 38 Reorder the terms: -6w + 2(7 + w) = 38 -6w + (7 * 2 + w * 2) = 38 -6w + (14 + 2w) = 38 Reorder the terms: 14 + -6w + 2w = 38 Combine like terms: -6w + 2w = -4w 14 + -4w = 38 Solving 14 + -4w = 38 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 + -4w = 38 + -14 Combine like terms: 14 + -14 = 0 0 + -4w = 38 + -14 -4w = 38 + -14 Combine like terms: 38 + -14 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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