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Simplifying -10 + 4w + 6 = -2w + 23 + -3w Reorder the terms: -10 + 6 + 4w = -2w + 23 + -3w Combine like terms: -10 + 6 = -4 -4 + 4w = -2w + 23 + -3w Reorder the terms: -4 + 4w = 23 + -2w + -3w Combine like terms: -2w + -3w = -5w -4 + 4w = 23 + -5w Solving -4 + 4w = 23 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -4 + 4w + 5w = 23 + -5w + 5w Combine like terms: 4w + 5w = 9w -4 + 9w = 23 + -5w + 5w Combine like terms: -5w + 5w = 0 -4 + 9w = 23 + 0 -4 + 9w = 23 Add '4' to each side of the equation. -4 + 4 + 9w = 23 + 4 Combine like terms: -4 + 4 = 0 0 + 9w = 23 + 4 9w = 23 + 4 Combine like terms: 23 + 4 = 27 9w = 27 Divide each side by '9'. w = 3 Simplifying w = 3
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