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Simplifying 6.56w + 9.27 = 36.4w + -5.65 Reorder the terms: 9.27 + 6.56w = 36.4w + -5.65 Reorder the terms: 9.27 + 6.56w = -5.65 + 36.4w Solving 9.27 + 6.56w = -5.65 + 36.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36.4w' to each side of the equation. 9.27 + 6.56w + -36.4w = -5.65 + 36.4w + -36.4w Combine like terms: 6.56w + -36.4w = -29.84w 9.27 + -29.84w = -5.65 + 36.4w + -36.4w Combine like terms: 36.4w + -36.4w = 0.0 9.27 + -29.84w = -5.65 + 0.0 9.27 + -29.84w = -5.65 Add '-9.27' to each side of the equation. 9.27 + -9.27 + -29.84w = -5.65 + -9.27 Combine like terms: 9.27 + -9.27 = 0.00 0.00 + -29.84w = -5.65 + -9.27 -29.84w = -5.65 + -9.27 Combine like terms: -5.65 + -9.27 = -14.92 -29.84w = -14.92 Divide each side by '-29.84'. w = 0.5 Simplifying w = 0.5
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