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Simplifying 10w + -92 = 6w + -44 Reorder the terms: -92 + 10w = 6w + -44 Reorder the terms: -92 + 10w = -44 + 6w Solving -92 + 10w = -44 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -92 + 10w + -6w = -44 + 6w + -6w Combine like terms: 10w + -6w = 4w -92 + 4w = -44 + 6w + -6w Combine like terms: 6w + -6w = 0 -92 + 4w = -44 + 0 -92 + 4w = -44 Add '92' to each side of the equation. -92 + 92 + 4w = -44 + 92 Combine like terms: -92 + 92 = 0 0 + 4w = -44 + 92 4w = -44 + 92 Combine like terms: -44 + 92 = 48 4w = 48 Divide each side by '4'. w = 12 Simplifying w = 12
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