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Simplifying -2w + -22 = -13 + 2w + -9 Reorder the terms: -22 + -2w = -13 + 2w + -9 Reorder the terms: -22 + -2w = -13 + -9 + 2w Combine like terms: -13 + -9 = -22 -22 + -2w = -22 + 2w Add '22' to each side of the equation. -22 + 22 + -2w = -22 + 22 + 2w Combine like terms: -22 + 22 = 0 0 + -2w = -22 + 22 + 2w -2w = -22 + 22 + 2w Combine like terms: -22 + 22 = 0 -2w = 0 + 2w -2w = 2w Solving -2w = 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. -2w + -2w = 2w + -2w Combine like terms: -2w + -2w = -4w -4w = 2w + -2w Combine like terms: 2w + -2w = 0 -4w = 0 Divide each side by '-4'. w = 0 Simplifying w = 0
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