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Simplifying -6w + 12 + w = 2 + -3w Reorder the terms: 12 + -6w + w = 2 + -3w Combine like terms: -6w + w = -5w 12 + -5w = 2 + -3w Solving 12 + -5w = 2 + -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 + -5w + 3w = 2 + -3w + 3w Combine like terms: -5w + 3w = -2w 12 + -2w = 2 + -3w + 3w Combine like terms: -3w + 3w = 0 12 + -2w = 2 + 0 12 + -2w = 2 Add '-12' to each side of the equation. 12 + -12 + -2w = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 2 + -12 -2w = 2 + -12 Combine like terms: 2 + -12 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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