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Simplifying 2 + -22 = -13 + 2w + -9 Combine like terms: 2 + -22 = -20 -20 = -13 + 2w + -9 Reorder the terms: -20 = -13 + -9 + 2w Combine like terms: -13 + -9 = -22 -20 = -22 + 2w Solving -20 = -22 + 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. -20 + -2w = -22 + 2w + -2w Combine like terms: 2w + -2w = 0 -20 + -2w = -22 + 0 -20 + -2w = -22 Add '20' to each side of the equation. -20 + 20 + -2w = -22 + 20 Combine like terms: -20 + 20 = 0 0 + -2w = -22 + 20 -2w = -22 + 20 Combine like terms: -22 + 20 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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