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Simplifying 0.75w + 6 = 9 + -0.25w Reorder the terms: 6 + 0.75w = 9 + -0.25w Solving 6 + 0.75w = 9 + -0.25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.25w' to each side of the equation. 6 + 0.75w + 0.25w = 9 + -0.25w + 0.25w Combine like terms: 0.75w + 0.25w = 1w 6 + 1w = 9 + -0.25w + 0.25w Combine like terms: -0.25w + 0.25w = 0.00 6 + 1w = 9 + 0.00 6 + 1w = 9 Add '-6' to each side of the equation. 6 + -6 + 1w = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 1w = 9 + -6 1w = 9 + -6 Combine like terms: 9 + -6 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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