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Simplifying 0.5w + 7 = 0.75w + 9 Reorder the terms: 7 + 0.5w = 0.75w + 9 Reorder the terms: 7 + 0.5w = 9 + 0.75w Solving 7 + 0.5w = 9 + 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. 7 + 0.5w + -0.75w = 9 + 0.75w + -0.75w Combine like terms: 0.5w + -0.75w = -0.25w 7 + -0.25w = 9 + 0.75w + -0.75w Combine like terms: 0.75w + -0.75w = 0.00 7 + -0.25w = 9 + 0.00 7 + -0.25w = 9 Add '-7' to each side of the equation. 7 + -7 + -0.25w = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -0.25w = 9 + -7 -0.25w = 9 + -7 Combine like terms: 9 + -7 = 2 -0.25w = 2 Divide each side by '-0.25'. w = -8 Simplifying w = -8
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