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Simplifying 0.75w + 100 = 0.25w + -1 Reorder the terms: 100 + 0.75w = 0.25w + -1 Reorder the terms: 100 + 0.75w = -1 + 0.25w Solving 100 + 0.75w = -1 + 0.25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.25w' to each side of the equation. 100 + 0.75w + -0.25w = -1 + 0.25w + -0.25w Combine like terms: 0.75w + -0.25w = 0.5w 100 + 0.5w = -1 + 0.25w + -0.25w Combine like terms: 0.25w + -0.25w = 0.00 100 + 0.5w = -1 + 0.00 100 + 0.5w = -1 Add '-100' to each side of the equation. 100 + -100 + 0.5w = -1 + -100 Combine like terms: 100 + -100 = 0 0 + 0.5w = -1 + -100 0.5w = -1 + -100 Combine like terms: -1 + -100 = -101 0.5w = -101 Divide each side by '0.5'. w = -202 Simplifying w = -202
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