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Simplifying 2.27w + 6.28 = 1.03 + 1.67w Reorder the terms: 6.28 + 2.27w = 1.03 + 1.67w Solving 6.28 + 2.27w = 1.03 + 1.67w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.67w' to each side of the equation. 6.28 + 2.27w + -1.67w = 1.03 + 1.67w + -1.67w Combine like terms: 2.27w + -1.67w = 0.6w 6.28 + 0.6w = 1.03 + 1.67w + -1.67w Combine like terms: 1.67w + -1.67w = 0.00 6.28 + 0.6w = 1.03 + 0.00 6.28 + 0.6w = 1.03 Add '-6.28' to each side of the equation. 6.28 + -6.28 + 0.6w = 1.03 + -6.28 Combine like terms: 6.28 + -6.28 = 0.00 0.00 + 0.6w = 1.03 + -6.28 0.6w = 1.03 + -6.28 Combine like terms: 1.03 + -6.28 = -5.25 0.6w = -5.25 Divide each side by '0.6'. w = -8.75 Simplifying w = -8.75
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