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Simplifying 5w + -0.5 = 6w Reorder the terms: -0.5 + 5w = 6w Solving -0.5 + 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. -0.5 + 5w + -6w = 6w + -6w Combine like terms: 5w + -6w = -1w -0.5 + -1w = 6w + -6w Combine like terms: 6w + -6w = 0 -0.5 + -1w = 0 Add '0.5' to each side of the equation. -0.5 + 0.5 + -1w = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1w = 0 + 0.5 -1w = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -1w = 0.5 Divide each side by '-1'. w = -0.5 Simplifying w = -0.5
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