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Simplifying 0.75w + 8 = w + -7 Reorder the terms: 8 + 0.75w = w + -7 Reorder the terms: 8 + 0.75w = -7 + w Solving 8 + 0.75w = -7 + 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. 8 + 0.75w + -1w = -7 + w + -1w Combine like terms: 0.75w + -1w = -0.25w 8 + -0.25w = -7 + w + -1w Combine like terms: w + -1w = 0 8 + -0.25w = -7 + 0 8 + -0.25w = -7 Add '-8' to each side of the equation. 8 + -8 + -0.25w = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -0.25w = -7 + -8 -0.25w = -7 + -8 Combine like terms: -7 + -8 = -15 -0.25w = -15 Divide each side by '-0.25'. w = 60 Simplifying w = 60
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