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Simplifying 2w + -30 = -8w + -40 Reorder the terms: -30 + 2w = -8w + -40 Reorder the terms: -30 + 2w = -40 + -8w Solving -30 + 2w = -40 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -30 + 2w + 8w = -40 + -8w + 8w Combine like terms: 2w + 8w = 10w -30 + 10w = -40 + -8w + 8w Combine like terms: -8w + 8w = 0 -30 + 10w = -40 + 0 -30 + 10w = -40 Add '30' to each side of the equation. -30 + 30 + 10w = -40 + 30 Combine like terms: -30 + 30 = 0 0 + 10w = -40 + 30 10w = -40 + 30 Combine like terms: -40 + 30 = -10 10w = -10 Divide each side by '10'. w = -1 Simplifying w = -1
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