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Simplifying 0.25(w + -4) + -0.75w = 3 Reorder the terms: 0.25(-4 + w) + -0.75w = 3 (-4 * 0.25 + w * 0.25) + -0.75w = 3 (-1 + 0.25w) + -0.75w = 3 Combine like terms: 0.25w + -0.75w = -0.5w -1 + -0.5w = 3 Solving -1 + -0.5w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -0.5w = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -0.5w = 3 + 1 -0.5w = 3 + 1 Combine like terms: 3 + 1 = 4 -0.5w = 4 Divide each side by '-0.5'. w = -8 Simplifying w = -8
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