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Simplifying 0.25w + 8 = 0.33w + -7 Reorder the terms: 8 + 0.25w = 0.33w + -7 Reorder the terms: 8 + 0.25w = -7 + 0.33w Solving 8 + 0.25w = -7 + 0.33w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.33w' to each side of the equation. 8 + 0.25w + -0.33w = -7 + 0.33w + -0.33w Combine like terms: 0.25w + -0.33w = -0.08w 8 + -0.08w = -7 + 0.33w + -0.33w Combine like terms: 0.33w + -0.33w = 0.00 8 + -0.08w = -7 + 0.00 8 + -0.08w = -7 Add '-8' to each side of the equation. 8 + -8 + -0.08w = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -0.08w = -7 + -8 -0.08w = -7 + -8 Combine like terms: -7 + -8 = -15 -0.08w = -15 Divide each side by '-0.08'. w = 187.5 Simplifying w = 187.5
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