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Simplifying 38 = -3w + 2 Reorder the terms: 38 = 2 + -3w Solving 38 = 2 + -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 = 2 + -3w + 3w Combine like terms: -3w + 3w = 0 38 + 3w = 2 + 0 38 + 3w = 2 Add '-38' to each side of the equation. 38 + -38 + 3w = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 3w = 2 + -38 3w = 2 + -38 Combine like terms: 2 + -38 = -36 3w = -36 Divide each side by '3'. w = -12 Simplifying w = -12
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