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Simplifying 406 = 4w + -7 Reorder the terms: 406 = -7 + 4w Solving 406 = -7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 406 + -4w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 406 + -4w = -7 + 0 406 + -4w = -7 Add '-406' to each side of the equation. 406 + -406 + -4w = -7 + -406 Combine like terms: 406 + -406 = 0 0 + -4w = -7 + -406 -4w = -7 + -406 Combine like terms: -7 + -406 = -413 -4w = -413 Divide each side by '-4'. w = 103.25 Simplifying w = 103.25
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