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Simplifying -8w + 8 + 3w = -2 + -6w + 2 Reorder the terms: 8 + -8w + 3w = -2 + -6w + 2 Combine like terms: -8w + 3w = -5w 8 + -5w = -2 + -6w + 2 Reorder the terms: 8 + -5w = -2 + 2 + -6w Combine like terms: -2 + 2 = 0 8 + -5w = 0 + -6w 8 + -5w = -6w Solving 8 + -5w = -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. 8 + -5w + 6w = -6w + 6w Combine like terms: -5w + 6w = 1w 8 + 1w = -6w + 6w Combine like terms: -6w + 6w = 0 8 + 1w = 0 Add '-8' to each side of the equation. 8 + -8 + 1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 0 + -8 1w = 0 + -8 Combine like terms: 0 + -8 = -8 1w = -8 Divide each side by '1'. w = -8 Simplifying w = -8
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