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Simplifying -40w + -24 = 5w + 6 Reorder the terms: -24 + -40w = 5w + 6 Reorder the terms: -24 + -40w = 6 + 5w Solving -24 + -40w = 6 + 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. -24 + -40w + -5w = 6 + 5w + -5w Combine like terms: -40w + -5w = -45w -24 + -45w = 6 + 5w + -5w Combine like terms: 5w + -5w = 0 -24 + -45w = 6 + 0 -24 + -45w = 6 Add '24' to each side of the equation. -24 + 24 + -45w = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -45w = 6 + 24 -45w = 6 + 24 Combine like terms: 6 + 24 = 30 -45w = 30 Divide each side by '-45'. w = -0.6666666667 Simplifying w = -0.6666666667
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