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Simplifying -5w + -43 = 6(w + 2) Reorder the terms: -43 + -5w = 6(w + 2) Reorder the terms: -43 + -5w = 6(2 + w) -43 + -5w = (2 * 6 + w * 6) -43 + -5w = (12 + 6w) Solving -43 + -5w = 12 + 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. -43 + -5w + -6w = 12 + 6w + -6w Combine like terms: -5w + -6w = -11w -43 + -11w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 -43 + -11w = 12 + 0 -43 + -11w = 12 Add '43' to each side of the equation. -43 + 43 + -11w = 12 + 43 Combine like terms: -43 + 43 = 0 0 + -11w = 12 + 43 -11w = 12 + 43 Combine like terms: 12 + 43 = 55 -11w = 55 Divide each side by '-11'. w = -5 Simplifying w = -5
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