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Simplifying 0.25w + 7 + -6w + 2 = 32 Reorder the terms: 7 + 2 + 0.25w + -6w = 32 Combine like terms: 7 + 2 = 9 9 + 0.25w + -6w = 32 Combine like terms: 0.25w + -6w = -5.75w 9 + -5.75w = 32 Solving 9 + -5.75w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5.75w = 32 + -9 Combine like terms: 9 + -9 = 0 0 + -5.75w = 32 + -9 -5.75w = 32 + -9 Combine like terms: 32 + -9 = 23 -5.75w = 23 Divide each side by '-5.75'. w = -4 Simplifying w = -4
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