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Simplifying -0.333w + 0.833 = 3.5w + -1.5 Reorder the terms: 0.833 + -0.333w = 3.5w + -1.5 Reorder the terms: 0.833 + -0.333w = -1.5 + 3.5w Solving 0.833 + -0.333w = -1.5 + 3.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.5w' to each side of the equation. 0.833 + -0.333w + -3.5w = -1.5 + 3.5w + -3.5w Combine like terms: -0.333w + -3.5w = -3.833w 0.833 + -3.833w = -1.5 + 3.5w + -3.5w Combine like terms: 3.5w + -3.5w = 0.0 0.833 + -3.833w = -1.5 + 0.0 0.833 + -3.833w = -1.5 Add '-0.833' to each side of the equation. 0.833 + -0.833 + -3.833w = -1.5 + -0.833 Combine like terms: 0.833 + -0.833 = 0.000 0.000 + -3.833w = -1.5 + -0.833 -3.833w = -1.5 + -0.833 Combine like terms: -1.5 + -0.833 = -2.333 -3.833w = -2.333 Divide each side by '-3.833'. w = 0.6086616227 Simplifying w = 0.6086616227
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