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Simplifying 5 + 3w + -2w = 8 + -6 Combine like terms: 3w + -2w = 1w 5 + 1w = 8 + -6 Combine like terms: 8 + -6 = 2 5 + 1w = 2 Solving 5 + 1w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1w = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 2 + -5 1w = 2 + -5 Combine like terms: 2 + -5 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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