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Simplifying 18.4 + 8w = 6(9w + -4.6) Reorder the terms: 18.4 + 8w = 6(-4.6 + 9w) 18.4 + 8w = (-4.6 * 6 + 9w * 6) 18.4 + 8w = (-27.6 + 54w) Solving 18.4 + 8w = -27.6 + 54w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-54w' to each side of the equation. 18.4 + 8w + -54w = -27.6 + 54w + -54w Combine like terms: 8w + -54w = -46w 18.4 + -46w = -27.6 + 54w + -54w Combine like terms: 54w + -54w = 0 18.4 + -46w = -27.6 + 0 18.4 + -46w = -27.6 Add '-18.4' to each side of the equation. 18.4 + -18.4 + -46w = -27.6 + -18.4 Combine like terms: 18.4 + -18.4 = 0.0 0.0 + -46w = -27.6 + -18.4 -46w = -27.6 + -18.4 Combine like terms: -27.6 + -18.4 = -46 -46w = -46 Divide each side by '-46'. w = 1 Simplifying w = 1
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