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Simplifying 8 + -0.25w = 3w + 24.25 Reorder the terms: 8 + -0.25w = 24.25 + 3w Solving 8 + -0.25w = 24.25 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 8 + -0.25w + -3w = 24.25 + 3w + -3w Combine like terms: -0.25w + -3w = -3.25w 8 + -3.25w = 24.25 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + -3.25w = 24.25 + 0 8 + -3.25w = 24.25 Add '-8' to each side of the equation. 8 + -8 + -3.25w = 24.25 + -8 Combine like terms: 8 + -8 = 0 0 + -3.25w = 24.25 + -8 -3.25w = 24.25 + -8 Combine like terms: 24.25 + -8 = 16.25 -3.25w = 16.25 Divide each side by '-3.25'. w = -5 Simplifying w = -5
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