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Simplifying 6w + 0.75(4w + 8) = -32 Reorder the terms: 6w + 0.75(8 + 4w) = -32 6w + (8 * 0.75 + 4w * 0.75) = -32 6w + (6 + 3w) = -32 Reorder the terms: 6 + 6w + 3w = -32 Combine like terms: 6w + 3w = 9w 6 + 9w = -32 Solving 6 + 9w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9w = -32 + -6 Combine like terms: 6 + -6 = 0 0 + 9w = -32 + -6 9w = -32 + -6 Combine like terms: -32 + -6 = -38 9w = -38 Divide each side by '9'. w = -4.222222222 Simplifying w = -4.222222222
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