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Simplifying 2(3 + -4w) = 2x + -9 (3 * 2 + -4w * 2) = 2x + -9 (6 + -8w) = 2x + -9 Reorder the terms: 6 + -8w = -9 + 2x Solving 6 + -8w = -9 + 2x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -8w = -9 + -6 + 2x Combine like terms: 6 + -6 = 0 0 + -8w = -9 + -6 + 2x -8w = -9 + -6 + 2x Combine like terms: -9 + -6 = -15 -8w = -15 + 2x Divide each side by '-8'. w = 1.875 + -0.25x Simplifying w = 1.875 + -0.25x
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