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Simplifying 0.83w + 0.29 = 0.5w + -0.7 Reorder the terms: 0.29 + 0.83w = 0.5w + -0.7 Reorder the terms: 0.29 + 0.83w = -0.7 + 0.5w Solving 0.29 + 0.83w = -0.7 + 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. 0.29 + 0.83w + -0.5w = -0.7 + 0.5w + -0.5w Combine like terms: 0.83w + -0.5w = 0.33w 0.29 + 0.33w = -0.7 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 0.29 + 0.33w = -0.7 + 0.0 0.29 + 0.33w = -0.7 Add '-0.29' to each side of the equation. 0.29 + -0.29 + 0.33w = -0.7 + -0.29 Combine like terms: 0.29 + -0.29 = 0.00 0.00 + 0.33w = -0.7 + -0.29 0.33w = -0.7 + -0.29 Combine like terms: -0.7 + -0.29 = -0.99 0.33w = -0.99 Divide each side by '0.33'. w = -3 Simplifying w = -3
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