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Simplifying -43 = -8 + 5w Solving -43 = -8 + 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. -43 + -5w = -8 + 5w + -5w Combine like terms: 5w + -5w = 0 -43 + -5w = -8 + 0 -43 + -5w = -8 Add '43' to each side of the equation. -43 + 43 + -5w = -8 + 43 Combine like terms: -43 + 43 = 0 0 + -5w = -8 + 43 -5w = -8 + 43 Combine like terms: -8 + 43 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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