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Simplifying 5 + 8w = 10w + -9 Reorder the terms: 5 + 8w = -9 + 10w Solving 5 + 8w = -9 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 5 + 8w + -10w = -9 + 10w + -10w Combine like terms: 8w + -10w = -2w 5 + -2w = -9 + 10w + -10w Combine like terms: 10w + -10w = 0 5 + -2w = -9 + 0 5 + -2w = -9 Add '-5' to each side of the equation. 5 + -5 + -2w = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = -9 + -5 -2w = -9 + -5 Combine like terms: -9 + -5 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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