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Simplifying -8w + 30 = 2w + -20 Reorder the terms: 30 + -8w = 2w + -20 Reorder the terms: 30 + -8w = -20 + 2w Solving 30 + -8w = -20 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 30 + -8w + -2w = -20 + 2w + -2w Combine like terms: -8w + -2w = -10w 30 + -10w = -20 + 2w + -2w Combine like terms: 2w + -2w = 0 30 + -10w = -20 + 0 30 + -10w = -20 Add '-30' to each side of the equation. 30 + -30 + -10w = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -10w = -20 + -30 -10w = -20 + -30 Combine like terms: -20 + -30 = -50 -10w = -50 Divide each side by '-10'. w = 5 Simplifying w = 5
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