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Simplifying -22 = 2(w + -4) + -4w Reorder the terms: -22 = 2(-4 + w) + -4w -22 = (-4 * 2 + w * 2) + -4w -22 = (-8 + 2w) + -4w Combine like terms: 2w + -4w = -2w -22 = -8 + -2w Solving -22 = -8 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -22 + 2w = -8 + -2w + 2w Combine like terms: -2w + 2w = 0 -22 + 2w = -8 + 0 -22 + 2w = -8 Add '22' to each side of the equation. -22 + 22 + 2w = -8 + 22 Combine like terms: -22 + 22 = 0 0 + 2w = -8 + 22 2w = -8 + 22 Combine like terms: -8 + 22 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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