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Simplifying 30 + -6w = 5w + 45 Reorder the terms: 30 + -6w = 45 + 5w Solving 30 + -6w = 45 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 30 + -6w + -5w = 45 + 5w + -5w Combine like terms: -6w + -5w = -11w 30 + -11w = 45 + 5w + -5w Combine like terms: 5w + -5w = 0 30 + -11w = 45 + 0 30 + -11w = 45 Add '-30' to each side of the equation. 30 + -30 + -11w = 45 + -30 Combine like terms: 30 + -30 = 0 0 + -11w = 45 + -30 -11w = 45 + -30 Combine like terms: 45 + -30 = 15 -11w = 15 Divide each side by '-11'. w = -1.363636364 Simplifying w = -1.363636364
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