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Simplifying 4 = 0.5(w + -4.3) Reorder the terms: 4 = 0.5(-4.3 + w) 4 = (-4.3 * 0.5 + w * 0.5) 4 = (-2.15 + 0.5w) Solving 4 = -2.15 + 0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5w' to each side of the equation. 4 + -0.5w = -2.15 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 4 + -0.5w = -2.15 + 0.0 4 + -0.5w = -2.15 Add '-4' to each side of the equation. 4 + -4 + -0.5w = -2.15 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5w = -2.15 + -4 -0.5w = -2.15 + -4 Combine like terms: -2.15 + -4 = -6.15 -0.5w = -6.15 Divide each side by '-0.5'. w = 12.3 Simplifying w = 12.3
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