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Simplifying 8 = -3w + 0.5 + -3w + 4.3 Reorder the terms: 8 = 0.5 + 4.3 + -3w + -3w Combine like terms: 0.5 + 4.3 = 4.8 8 = 4.8 + -3w + -3w Combine like terms: -3w + -3w = -6w 8 = 4.8 + -6w Solving 8 = 4.8 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 8 + 6w = 4.8 + -6w + 6w Combine like terms: -6w + 6w = 0 8 + 6w = 4.8 + 0 8 + 6w = 4.8 Add '-8' to each side of the equation. 8 + -8 + 6w = 4.8 + -8 Combine like terms: 8 + -8 = 0 0 + 6w = 4.8 + -8 6w = 4.8 + -8 Combine like terms: 4.8 + -8 = -3.2 6w = -3.2 Divide each side by '6'. w = -0.5333333333 Simplifying w = -0.5333333333
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