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Simplifying -6w + -5 = 7 + -12w Reorder the terms: -5 + -6w = 7 + -12w Solving -5 + -6w = 7 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -5 + -6w + 12w = 7 + -12w + 12w Combine like terms: -6w + 12w = 6w -5 + 6w = 7 + -12w + 12w Combine like terms: -12w + 12w = 0 -5 + 6w = 7 + 0 -5 + 6w = 7 Add '5' to each side of the equation. -5 + 5 + 6w = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6w = 7 + 5 6w = 7 + 5 Combine like terms: 7 + 5 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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