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Simplifying 9w + -1(2 + -3w) = -38 9w + (2 * -1 + -3w * -1) = -38 9w + (-2 + 3w) = -38 Reorder the terms: -2 + 9w + 3w = -38 Combine like terms: 9w + 3w = 12w -2 + 12w = -38 Solving -2 + 12w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12w = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 12w = -38 + 2 12w = -38 + 2 Combine like terms: -38 + 2 = -36 12w = -36 Divide each side by '12'. w = -3 Simplifying w = -3
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