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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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