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Simplifying 0.333333w + 1 = 0.833w + 1.5 Reorder the terms: 1 + 0.333333w = 0.833w + 1.5 Reorder the terms: 1 + 0.333333w = 1.5 + 0.833w Solving 1 + 0.333333w = 1.5 + 0.833w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.833w' to each side of the equation. 1 + 0.333333w + -0.833w = 1.5 + 0.833w + -0.833w Combine like terms: 0.333333w + -0.833w = -0.499667w 1 + -0.499667w = 1.5 + 0.833w + -0.833w Combine like terms: 0.833w + -0.833w = 0.000 1 + -0.499667w = 1.5 + 0.000 1 + -0.499667w = 1.5 Add '-1' to each side of the equation. 1 + -1 + -0.499667w = 1.5 + -1 Combine like terms: 1 + -1 = 0 0 + -0.499667w = 1.5 + -1 -0.499667w = 1.5 + -1 Combine like terms: 1.5 + -1 = 0.5 -0.499667w = 0.5 Divide each side by '-0.499667'. w = -1.000666444 Simplifying w = -1.000666444
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