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Simplifying 5w + -41 = -6(w + -6) Reorder the terms: -41 + 5w = -6(w + -6) Reorder the terms: -41 + 5w = -6(-6 + w) -41 + 5w = (-6 * -6 + w * -6) -41 + 5w = (36 + -6w) Solving -41 + 5w = 36 + -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. -41 + 5w + 6w = 36 + -6w + 6w Combine like terms: 5w + 6w = 11w -41 + 11w = 36 + -6w + 6w Combine like terms: -6w + 6w = 0 -41 + 11w = 36 + 0 -41 + 11w = 36 Add '41' to each side of the equation. -41 + 41 + 11w = 36 + 41 Combine like terms: -41 + 41 = 0 0 + 11w = 36 + 41 11w = 36 + 41 Combine like terms: 36 + 41 = 77 11w = 77 Divide each side by '11'. w = 7 Simplifying w = 7
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