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Simplifying 0.6w + -6 = 0.9 + -9w Reorder the terms: -6 + 0.6w = 0.9 + -9w Solving -6 + 0.6w = 0.9 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -6 + 0.6w + 9w = 0.9 + -9w + 9w Combine like terms: 0.6w + 9w = 9.6w -6 + 9.6w = 0.9 + -9w + 9w Combine like terms: -9w + 9w = 0 -6 + 9.6w = 0.9 + 0 -6 + 9.6w = 0.9 Add '6' to each side of the equation. -6 + 6 + 9.6w = 0.9 + 6 Combine like terms: -6 + 6 = 0 0 + 9.6w = 0.9 + 6 9.6w = 0.9 + 6 Combine like terms: 0.9 + 6 = 6.9 9.6w = 6.9 Divide each side by '9.6'. w = 0.71875 Simplifying w = 0.71875
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