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Simplifying -12w + 12 + 8w = 9 + 8w + -12 Reorder the terms: 12 + -12w + 8w = 9 + 8w + -12 Combine like terms: -12w + 8w = -4w 12 + -4w = 9 + 8w + -12 Reorder the terms: 12 + -4w = 9 + -12 + 8w Combine like terms: 9 + -12 = -3 12 + -4w = -3 + 8w Solving 12 + -4w = -3 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 12 + -4w + -8w = -3 + 8w + -8w Combine like terms: -4w + -8w = -12w 12 + -12w = -3 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + -12w = -3 + 0 12 + -12w = -3 Add '-12' to each side of the equation. 12 + -12 + -12w = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -12w = -3 + -12 -12w = -3 + -12 Combine like terms: -3 + -12 = -15 -12w = -15 Divide each side by '-12'. w = 1.25 Simplifying w = 1.25
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