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Simplifying 4.5 + 0.75w = 3 + w Solving 4.5 + 0.75w = 3 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 4.5 + 0.75w + -1w = 3 + w + -1w Combine like terms: 0.75w + -1w = -0.25w 4.5 + -0.25w = 3 + w + -1w Combine like terms: w + -1w = 0 4.5 + -0.25w = 3 + 0 4.5 + -0.25w = 3 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.25w = 3 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.25w = 3 + -4.5 -0.25w = 3 + -4.5 Combine like terms: 3 + -4.5 = -1.5 -0.25w = -1.5 Divide each side by '-0.25'. w = 6 Simplifying w = 6
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