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Simplifying 5w + -40 = 40 + -6w Reorder the terms: -40 + 5w = 40 + -6w Solving -40 + 5w = 40 + -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. -40 + 5w + 6w = 40 + -6w + 6w Combine like terms: 5w + 6w = 11w -40 + 11w = 40 + -6w + 6w Combine like terms: -6w + 6w = 0 -40 + 11w = 40 + 0 -40 + 11w = 40 Add '40' to each side of the equation. -40 + 40 + 11w = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 11w = 40 + 40 11w = 40 + 40 Combine like terms: 40 + 40 = 80 11w = 80 Divide each side by '11'. w = 7.272727273 Simplifying w = 7.272727273
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