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Simplifying -2(w + 3) + 7 = -9 Reorder the terms: -2(3 + w) + 7 = -9 (3 * -2 + w * -2) + 7 = -9 (-6 + -2w) + 7 = -9 Reorder the terms: -6 + 7 + -2w = -9 Combine like terms: -6 + 7 = 1 1 + -2w = -9 Solving 1 + -2w = -9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2w = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = -9 + -1 -2w = -9 + -1 Combine like terms: -9 + -1 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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