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Simplifying 2w + 9.75 + -7w = -5.15 Reorder the terms: 9.75 + 2w + -7w = -5.15 Combine like terms: 2w + -7w = -5w 9.75 + -5w = -5.15 Solving 9.75 + -5w = -5.15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9.75' to each side of the equation. 9.75 + -9.75 + -5w = -5.15 + -9.75 Combine like terms: 9.75 + -9.75 = 0.00 0.00 + -5w = -5.15 + -9.75 -5w = -5.15 + -9.75 Combine like terms: -5.15 + -9.75 = -14.9 -5w = -14.9 Divide each side by '-5'. w = 2.98 Simplifying w = 2.98
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