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Simplifying 4w + -5 = 6 + -2w Reorder the terms: -5 + 4w = 6 + -2w Solving -5 + 4w = 6 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -5 + 4w + 2w = 6 + -2w + 2w Combine like terms: 4w + 2w = 6w -5 + 6w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 -5 + 6w = 6 + 0 -5 + 6w = 6 Add '5' to each side of the equation. -5 + 5 + 6w = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 6w = 6 + 5 6w = 6 + 5 Combine like terms: 6 + 5 = 11 6w = 11 Divide each side by '6'. w = 1.833333333 Simplifying w = 1.833333333
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