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Simplifying 9w + -46 = 7(w + -8) Reorder the terms: -46 + 9w = 7(w + -8) Reorder the terms: -46 + 9w = 7(-8 + w) -46 + 9w = (-8 * 7 + w * 7) -46 + 9w = (-56 + 7w) Solving -46 + 9w = -56 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -46 + 9w + -7w = -56 + 7w + -7w Combine like terms: 9w + -7w = 2w -46 + 2w = -56 + 7w + -7w Combine like terms: 7w + -7w = 0 -46 + 2w = -56 + 0 -46 + 2w = -56 Add '46' to each side of the equation. -46 + 46 + 2w = -56 + 46 Combine like terms: -46 + 46 = 0 0 + 2w = -56 + 46 2w = -56 + 46 Combine like terms: -56 + 46 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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