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Simplifying -6w + 4(w + 6) = 38 Reorder the terms: -6w + 4(6 + w) = 38 -6w + (6 * 4 + w * 4) = 38 -6w + (24 + 4w) = 38 Reorder the terms: 24 + -6w + 4w = 38 Combine like terms: -6w + 4w = -2w 24 + -2w = 38 Solving 24 + -2w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2w = 38 + -24 Combine like terms: 24 + -24 = 0 0 + -2w = 38 + -24 -2w = 38 + -24 Combine like terms: 38 + -24 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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