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Simplifying 0.5w + -10 = 0.75w Reorder the terms: -10 + 0.5w = 0.75w Solving -10 + 0.5w = 0.75w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.75w' to each side of the equation. -10 + 0.5w + -0.75w = 0.75w + -0.75w Combine like terms: 0.5w + -0.75w = -0.25w -10 + -0.25w = 0.75w + -0.75w Combine like terms: 0.75w + -0.75w = 0.00 -10 + -0.25w = 0.00 Add '10' to each side of the equation. -10 + 10 + -0.25w = 0.00 + 10 Combine like terms: -10 + 10 = 0 0 + -0.25w = 0.00 + 10 -0.25w = 0.00 + 10 Combine like terms: 0.00 + 10 = 10 -0.25w = 10 Divide each side by '-0.25'. w = -40 Simplifying w = -40
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