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Simplifying 9w + -2x + 8 = 4w + 38 Reorder the terms: 8 + 9w + -2x = 4w + 38 Reorder the terms: 8 + 9w + -2x = 38 + 4w Solving 8 + 9w + -2x = 38 + 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. 8 + 9w + -4w + -2x = 38 + 4w + -4w Combine like terms: 9w + -4w = 5w 8 + 5w + -2x = 38 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + 5w + -2x = 38 + 0 8 + 5w + -2x = 38 Add '-8' to each side of the equation. 8 + 5w + -8 + -2x = 38 + -8 Reorder the terms: 8 + -8 + 5w + -2x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 5w + -2x = 38 + -8 5w + -2x = 38 + -8 Combine like terms: 38 + -8 = 30 5w + -2x = 30 Add '2x' to each side of the equation. 5w + -2x + 2x = 30 + 2x Combine like terms: -2x + 2x = 0 5w + 0 = 30 + 2x 5w = 30 + 2x Divide each side by '5'. w = 6 + 0.4x Simplifying w = 6 + 0.4x
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