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Simplifying 5 + -2w = 6w + 2 Reorder the terms: 5 + -2w = 2 + 6w Solving 5 + -2w = 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. 5 + -2w + -6w = 2 + 6w + -6w Combine like terms: -2w + -6w = -8w 5 + -8w = 2 + 6w + -6w Combine like terms: 6w + -6w = 0 5 + -8w = 2 + 0 5 + -8w = 2 Add '-5' to each side of the equation. 5 + -5 + -8w = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -8w = 2 + -5 -8w = 2 + -5 Combine like terms: 2 + -5 = -3 -8w = -3 Divide each side by '-8'. w = 0.375 Simplifying w = 0.375
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