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Simplifying 6(5 + -3w) = -4u + -12 (5 * 6 + -3w * 6) = -4u + -12 (30 + -18w) = -4u + -12 Reorder the terms: 30 + -18w = -12 + -4u Solving 30 + -18w = -12 + -4u Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -18w = -12 + -30 + -4u Combine like terms: 30 + -30 = 0 0 + -18w = -12 + -30 + -4u -18w = -12 + -30 + -4u Combine like terms: -12 + -30 = -42 -18w = -42 + -4u Divide each side by '-18'. w = 2.333333333 + 0.2222222222u Simplifying w = 2.333333333 + 0.2222222222u
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