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Simplifying 10w + -5 = 6w + 12 Reorder the terms: -5 + 10w = 6w + 12 Reorder the terms: -5 + 10w = 12 + 6w Solving -5 + 10w = 12 + 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. -5 + 10w + -6w = 12 + 6w + -6w Combine like terms: 10w + -6w = 4w -5 + 4w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 -5 + 4w = 12 + 0 -5 + 4w = 12 Add '5' to each side of the equation. -5 + 5 + 4w = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 4w = 12 + 5 4w = 12 + 5 Combine like terms: 12 + 5 = 17 4w = 17 Divide each side by '4'. w = 4.25 Simplifying w = 4.25
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