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Simplifying 30 = 40 + -2(-3 + -3w) 30 = 40 + (-3 * -2 + -3w * -2) 30 = 40 + (6 + 6w) Combine like terms: 40 + 6 = 46 30 = 46 + 6w Solving 30 = 46 + 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. 30 + -6w = 46 + 6w + -6w Combine like terms: 6w + -6w = 0 30 + -6w = 46 + 0 30 + -6w = 46 Add '-30' to each side of the equation. 30 + -30 + -6w = 46 + -30 Combine like terms: 30 + -30 = 0 0 + -6w = 46 + -30 -6w = 46 + -30 Combine like terms: 46 + -30 = 16 -6w = 16 Divide each side by '-6'. w = -2.666666667 Simplifying w = -2.666666667
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