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