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Simplifying 0.6w + -6 = 0.9 + -1w Reorder the terms: -6 + 0.6w = 0.9 + -1w Solving -6 + 0.6w = 0.9 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -6 + 0.6w + w = 0.9 + -1w + w Combine like terms: 0.6w + w = 1.6w -6 + 1.6w = 0.9 + -1w + w Combine like terms: -1w + w = 0 -6 + 1.6w = 0.9 + 0 -6 + 1.6w = 0.9 Add '6' to each side of the equation. -6 + 6 + 1.6w = 0.9 + 6 Combine like terms: -6 + 6 = 0 0 + 1.6w = 0.9 + 6 1.6w = 0.9 + 6 Combine like terms: 0.9 + 6 = 6.9 1.6w = 6.9 Divide each side by '1.6'. w = 4.3125 Simplifying w = 4.3125
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