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Simplifying 3w + -10 + 4w = 9w + -20 Reorder the terms: -10 + 3w + 4w = 9w + -20 Combine like terms: 3w + 4w = 7w -10 + 7w = 9w + -20 Reorder the terms: -10 + 7w = -20 + 9w Solving -10 + 7w = -20 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -10 + 7w + -9w = -20 + 9w + -9w Combine like terms: 7w + -9w = -2w -10 + -2w = -20 + 9w + -9w Combine like terms: 9w + -9w = 0 -10 + -2w = -20 + 0 -10 + -2w = -20 Add '10' to each side of the equation. -10 + 10 + -2w = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = -20 + 10 -2w = -20 + 10 Combine like terms: -20 + 10 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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