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Simplifying 12 + -2w = 8 + -6w Solving 12 + -2w = 8 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 12 + -2w + 6w = 8 + -6w + 6w Combine like terms: -2w + 6w = 4w 12 + 4w = 8 + -6w + 6w Combine like terms: -6w + 6w = 0 12 + 4w = 8 + 0 12 + 4w = 8 Add '-12' to each side of the equation. 12 + -12 + 4w = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = 8 + -12 4w = 8 + -12 Combine like terms: 8 + -12 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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