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Simplifying -2[5w + -7] + 9 = -7 Reorder the terms: -2[-7 + 5w] + 9 = -7 [-7 * -2 + 5w * -2] + 9 = -7 [14 + -10w] + 9 = -7 Reorder the terms: 14 + 9 + -10w = -7 Combine like terms: 14 + 9 = 23 23 + -10w = -7 Solving 23 + -10w = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -10w = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -10w = -7 + -23 -10w = -7 + -23 Combine like terms: -7 + -23 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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