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Simplifying 6.5(2w + 9) = 36.4 Reorder the terms: 6.5(9 + 2w) = 36.4 (9 * 6.5 + 2w * 6.5) = 36.4 (58.5 + 13w) = 36.4 Solving 58.5 + 13w = 36.4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-58.5' to each side of the equation. 58.5 + -58.5 + 13w = 36.4 + -58.5 Combine like terms: 58.5 + -58.5 = 0.0 0.0 + 13w = 36.4 + -58.5 13w = 36.4 + -58.5 Combine like terms: 36.4 + -58.5 = -22.1 13w = -22.1 Divide each side by '13'. w = -1.7 Simplifying w = -1.7
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