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Simplifying 9(w + -9) + -2 = -7w + 7(w + -8) Reorder the terms: 9(-9 + w) + -2 = -7w + 7(w + -8) (-9 * 9 + w * 9) + -2 = -7w + 7(w + -8) (-81 + 9w) + -2 = -7w + 7(w + -8) Reorder the terms: -81 + -2 + 9w = -7w + 7(w + -8) Combine like terms: -81 + -2 = -83 -83 + 9w = -7w + 7(w + -8) Reorder the terms: -83 + 9w = -7w + 7(-8 + w) -83 + 9w = -7w + (-8 * 7 + w * 7) -83 + 9w = -7w + (-56 + 7w) Reorder the terms: -83 + 9w = -56 + -7w + 7w Combine like terms: -7w + 7w = 0 -83 + 9w = -56 + 0 -83 + 9w = -56 Solving -83 + 9w = -56 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 83 + 9w = -56 + 83 Combine like terms: -83 + 83 = 0 0 + 9w = -56 + 83 9w = -56 + 83 Combine like terms: -56 + 83 = 27 9w = 27 Divide each side by '9'. w = 3 Simplifying w = 3
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