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Simplifying 0.75w + -2 = 0.5w + 12 Reorder the terms: -2 + 0.75w = 0.5w + 12 Reorder the terms: -2 + 0.75w = 12 + 0.5w Solving -2 + 0.75w = 12 + 0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5w' to each side of the equation. -2 + 0.75w + -0.5w = 12 + 0.5w + -0.5w Combine like terms: 0.75w + -0.5w = 0.25w -2 + 0.25w = 12 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 -2 + 0.25w = 12 + 0.0 -2 + 0.25w = 12 Add '2' to each side of the equation. -2 + 2 + 0.25w = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 0.25w = 12 + 2 0.25w = 12 + 2 Combine like terms: 12 + 2 = 14 0.25w = 14 Divide each side by '0.25'. w = 56 Simplifying w = 56
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