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Simplifying 38 = 3w + -22 Reorder the terms: 38 = -22 + 3w Solving 38 = -22 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 38 + -3w = -22 + 3w + -3w Combine like terms: 3w + -3w = 0 38 + -3w = -22 + 0 38 + -3w = -22 Add '-38' to each side of the equation. 38 + -38 + -3w = -22 + -38 Combine like terms: 38 + -38 = 0 0 + -3w = -22 + -38 -3w = -22 + -38 Combine like terms: -22 + -38 = -60 -3w = -60 Divide each side by '-3'. w = 20 Simplifying w = 20
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