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Simplifying 7.071w + -6 = 1.4w Reorder the terms: -6 + 7.071w = 1.4w Solving -6 + 7.071w = 1.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.4w' to each side of the equation. -6 + 7.071w + -1.4w = 1.4w + -1.4w Combine like terms: 7.071w + -1.4w = 5.671w -6 + 5.671w = 1.4w + -1.4w Combine like terms: 1.4w + -1.4w = 0.0 -6 + 5.671w = 0.0 Add '6' to each side of the equation. -6 + 6 + 5.671w = 0.0 + 6 Combine like terms: -6 + 6 = 0 0 + 5.671w = 0.0 + 6 5.671w = 0.0 + 6 Combine like terms: 0.0 + 6 = 6 5.671w = 6 Divide each side by '5.671'. w = 1.05801446 Simplifying w = 1.05801446
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