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Simplifying 41 = 43 + -6(-3 + -2w) 41 = 43 + (-3 * -6 + -2w * -6) 41 = 43 + (18 + 12w) Combine like terms: 43 + 18 = 61 41 = 61 + 12w Solving 41 = 61 + 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. 41 + -12w = 61 + 12w + -12w Combine like terms: 12w + -12w = 0 41 + -12w = 61 + 0 41 + -12w = 61 Add '-41' to each side of the equation. 41 + -41 + -12w = 61 + -41 Combine like terms: 41 + -41 = 0 0 + -12w = 61 + -41 -12w = 61 + -41 Combine like terms: 61 + -41 = 20 -12w = 20 Divide each side by '-12'. w = -1.666666667 Simplifying w = -1.666666667
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