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Simplifying 44 = 18 + -6(-4 + -3w) 44 = 18 + (-4 * -6 + -3w * -6) 44 = 18 + (24 + 18w) Combine like terms: 18 + 24 = 42 44 = 42 + 18w Solving 44 = 42 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. 44 + -18w = 42 + 18w + -18w Combine like terms: 18w + -18w = 0 44 + -18w = 42 + 0 44 + -18w = 42 Add '-44' to each side of the equation. 44 + -44 + -18w = 42 + -44 Combine like terms: 44 + -44 = 0 0 + -18w = 42 + -44 -18w = 42 + -44 Combine like terms: 42 + -44 = -2 -18w = -2 Divide each side by '-18'. w = 0.1111111111 Simplifying w = 0.1111111111
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