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Simplifying 2.5w + -4 = -0.5w + -2.3 Reorder the terms: -4 + 2.5w = -0.5w + -2.3 Reorder the terms: -4 + 2.5w = -2.3 + -0.5w Solving -4 + 2.5w = -2.3 + -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 + 2.5w + 0.5w = -2.3 + -0.5w + 0.5w Combine like terms: 2.5w + 0.5w = 3w -4 + 3w = -2.3 + -0.5w + 0.5w Combine like terms: -0.5w + 0.5w = 0.0 -4 + 3w = -2.3 + 0.0 -4 + 3w = -2.3 Add '4' to each side of the equation. -4 + 4 + 3w = -2.3 + 4 Combine like terms: -4 + 4 = 0 0 + 3w = -2.3 + 4 3w = -2.3 + 4 Combine like terms: -2.3 + 4 = 1.7 3w = 1.7 Divide each side by '3'. w = 0.5666666667 Simplifying w = 0.5666666667
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