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Simplifying 7w + -2w + 8 = 6w + 3w + -12 Reorder the terms: 8 + 7w + -2w = 6w + 3w + -12 Combine like terms: 7w + -2w = 5w 8 + 5w = 6w + 3w + -12 Reorder the terms: 8 + 5w = -12 + 6w + 3w Combine like terms: 6w + 3w = 9w 8 + 5w = -12 + 9w Solving 8 + 5w = -12 + 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. 8 + 5w + -9w = -12 + 9w + -9w Combine like terms: 5w + -9w = -4w 8 + -4w = -12 + 9w + -9w Combine like terms: 9w + -9w = 0 8 + -4w = -12 + 0 8 + -4w = -12 Add '-8' to each side of the equation. 8 + -8 + -4w = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = -12 + -8 -4w = -12 + -8 Combine like terms: -12 + -8 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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