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Simplifying 38 = 45 + -6(4 + -2w) 38 = 45 + (4 * -6 + -2w * -6) 38 = 45 + (-24 + 12w) Combine like terms: 45 + -24 = 21 38 = 21 + 12w Solving 38 = 21 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 38 + -12w = 21 + 12w + -12w Combine like terms: 12w + -12w = 0 38 + -12w = 21 + 0 38 + -12w = 21 Add '-38' to each side of the equation. 38 + -38 + -12w = 21 + -38 Combine like terms: 38 + -38 = 0 0 + -12w = 21 + -38 -12w = 21 + -38 Combine like terms: 21 + -38 = -17 -12w = -17 Divide each side by '-12'. w = 1.416666667 Simplifying w = 1.416666667
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