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Simplifying 0.5w + 0.75w + -1 = -5w Reorder the terms: -1 + 0.5w + 0.75w = -5w Combine like terms: 0.5w + 0.75w = 1.25w -1 + 1.25w = -5w Solving -1 + 1.25w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -1 + 1.25w + 5w = -5w + 5w Combine like terms: 1.25w + 5w = 6.25w -1 + 6.25w = -5w + 5w Combine like terms: -5w + 5w = 0 -1 + 6.25w = 0 Add '1' to each side of the equation. -1 + 1 + 6.25w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6.25w = 0 + 1 6.25w = 0 + 1 Combine like terms: 0 + 1 = 1 6.25w = 1 Divide each side by '6.25'. w = 0.16 Simplifying w = 0.16
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