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Simplifying -7w + 3(w + 2) = 38 Reorder the terms: -7w + 3(2 + w) = 38 -7w + (2 * 3 + w * 3) = 38 -7w + (6 + 3w) = 38 Reorder the terms: 6 + -7w + 3w = 38 Combine like terms: -7w + 3w = -4w 6 + -4w = 38 Solving 6 + -4w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -4w = 38 + -6 Combine like terms: 6 + -6 = 0 0 + -4w = 38 + -6 -4w = 38 + -6 Combine like terms: 38 + -6 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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