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Simplifying -75 = 6w + -40 Reorder the terms: -75 = -40 + 6w Solving -75 = -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. -75 + -6w = -40 + 6w + -6w Combine like terms: 6w + -6w = 0 -75 + -6w = -40 + 0 -75 + -6w = -40 Add '75' to each side of the equation. -75 + 75 + -6w = -40 + 75 Combine like terms: -75 + 75 = 0 0 + -6w = -40 + 75 -6w = -40 + 75 Combine like terms: -40 + 75 = 35 -6w = 35 Divide each side by '-6'. w = -5.833333333 Simplifying w = -5.833333333
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