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Simplifying 45 = 6w + -1w Combine like terms: 6w + -1w = 5w 45 = 5w Solving 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. 45 + -5w = 5w + -5w Combine like terms: 5w + -5w = 0 45 + -5w = 0 Add '-45' to each side of the equation. 45 + -45 + -5w = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -5w = 0 + -45 -5w = 0 + -45 Combine like terms: 0 + -45 = -45 -5w = -45 Divide each side by '-5'. w = 9 Simplifying w = 9
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