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Simplifying -4 = 2(w + 4) + -6w Reorder the terms: -4 = 2(4 + w) + -6w -4 = (4 * 2 + w * 2) + -6w -4 = (8 + 2w) + -6w Combine like terms: 2w + -6w = -4w -4 = 8 + -4w Solving -4 = 8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -4 + 4w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 -4 + 4w = 8 + 0 -4 + 4w = 8 Add '4' to each side of the equation. -4 + 4 + 4w = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4w = 8 + 4 4w = 8 + 4 Combine like terms: 8 + 4 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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