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Simplifying 39 = 20 + -2(-3 + -3w) 39 = 20 + (-3 * -2 + -3w * -2) 39 = 20 + (6 + 6w) Combine like terms: 20 + 6 = 26 39 = 26 + 6w Solving 39 = 26 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 39 + -6w = 26 + 6w + -6w Combine like terms: 6w + -6w = 0 39 + -6w = 26 + 0 39 + -6w = 26 Add '-39' to each side of the equation. 39 + -39 + -6w = 26 + -39 Combine like terms: 39 + -39 = 0 0 + -6w = 26 + -39 -6w = 26 + -39 Combine like terms: 26 + -39 = -13 -6w = -13 Divide each side by '-6'. w = 2.166666667 Simplifying w = 2.166666667
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