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Simplifying 45 = -5w + -2 Reorder the terms: 45 = -2 + -5w Solving 45 = -2 + -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 = -2 + -5w + 5w Combine like terms: -5w + 5w = 0 45 + 5w = -2 + 0 45 + 5w = -2 Add '-45' to each side of the equation. 45 + -45 + 5w = -2 + -45 Combine like terms: 45 + -45 = 0 0 + 5w = -2 + -45 5w = -2 + -45 Combine like terms: -2 + -45 = -47 5w = -47 Divide each side by '5'. w = -9.4 Simplifying w = -9.4
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