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Simplifying w + -12 = -21 + 2w Reorder the terms: -12 + w = -21 + 2w Solving -12 + w = -21 + 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. -12 + w + -2w = -21 + 2w + -2w Combine like terms: w + -2w = -1w -12 + -1w = -21 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -1w = -21 + 0 -12 + -1w = -21 Add '12' to each side of the equation. -12 + 12 + -1w = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -1w = -21 + 12 -1w = -21 + 12 Combine like terms: -21 + 12 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9
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