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Simplifying -0.9(7.5w + -6) + -9 = 0 Reorder the terms: -0.9(-6 + 7.5w) + -9 = 0 (-6 * -0.9 + 7.5w * -0.9) + -9 = 0 (5.4 + -6.75w) + -9 = 0 Reorder the terms: 5.4 + -9 + -6.75w = 0 Combine like terms: 5.4 + -9 = -3.6 -3.6 + -6.75w = 0 Solving -3.6 + -6.75w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3.6' to each side of the equation. -3.6 + 3.6 + -6.75w = 0 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -6.75w = 0 + 3.6 -6.75w = 0 + 3.6 Combine like terms: 0 + 3.6 = 3.6 -6.75w = 3.6 Divide each side by '-6.75'. w = -0.5333333333 Simplifying w = -0.5333333333
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