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Simplifying 5w + 44 = 2w + 8 + 6 Reorder the terms: 44 + 5w = 2w + 8 + 6 Reorder the terms: 44 + 5w = 8 + 6 + 2w Combine like terms: 8 + 6 = 14 44 + 5w = 14 + 2w Solving 44 + 5w = 14 + 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. 44 + 5w + -2w = 14 + 2w + -2w Combine like terms: 5w + -2w = 3w 44 + 3w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 44 + 3w = 14 + 0 44 + 3w = 14 Add '-44' to each side of the equation. 44 + -44 + 3w = 14 + -44 Combine like terms: 44 + -44 = 0 0 + 3w = 14 + -44 3w = 14 + -44 Combine like terms: 14 + -44 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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