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Simplifying 4w + 12 = -6w + 2 Reorder the terms: 12 + 4w = -6w + 2 Reorder the terms: 12 + 4w = 2 + -6w Solving 12 + 4w = 2 + -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 + 4w + 6w = 2 + -6w + 6w Combine like terms: 4w + 6w = 10w 12 + 10w = 2 + -6w + 6w Combine like terms: -6w + 6w = 0 12 + 10w = 2 + 0 12 + 10w = 2 Add '-12' to each side of the equation. 12 + -12 + 10w = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 10w = 2 + -12 10w = 2 + -12 Combine like terms: 2 + -12 = -10 10w = -10 Divide each side by '10'. w = -1 Simplifying w = -1
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