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Simplifying 0.75w + -5 = 0.25w + -1 Reorder the terms: -5 + 0.75w = 0.25w + -1 Reorder the terms: -5 + 0.75w = -1 + 0.25w Solving -5 + 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. -5 + 0.75w + -0.25w = -1 + 0.25w + -0.25w Combine like terms: 0.75w + -0.25w = 0.5w -5 + 0.5w = -1 + 0.25w + -0.25w Combine like terms: 0.25w + -0.25w = 0.00 -5 + 0.5w = -1 + 0.00 -5 + 0.5w = -1 Add '5' to each side of the equation. -5 + 5 + 0.5w = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5w = -1 + 5 0.5w = -1 + 5 Combine like terms: -1 + 5 = 4 0.5w = 4 Divide each side by '0.5'. w = 8 Simplifying w = 8
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