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Simplifying 14 + -0.125w = 0.75w + -21 Reorder the terms: 14 + -0.125w = -21 + 0.75w Solving 14 + -0.125w = -21 + 0.75w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.75w' to each side of the equation. 14 + -0.125w + -0.75w = -21 + 0.75w + -0.75w Combine like terms: -0.125w + -0.75w = -0.875w 14 + -0.875w = -21 + 0.75w + -0.75w Combine like terms: 0.75w + -0.75w = 0.00 14 + -0.875w = -21 + 0.00 14 + -0.875w = -21 Add '-14' to each side of the equation. 14 + -14 + -0.875w = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -0.875w = -21 + -14 -0.875w = -21 + -14 Combine like terms: -21 + -14 = -35 -0.875w = -35 Divide each side by '-0.875'. w = 40 Simplifying w = 40
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