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Simplifying 6w + -6 + 5 = 9 + -6w + 2 Reorder the terms: -6 + 5 + 6w = 9 + -6w + 2 Combine like terms: -6 + 5 = -1 -1 + 6w = 9 + -6w + 2 Reorder the terms: -1 + 6w = 9 + 2 + -6w Combine like terms: 9 + 2 = 11 -1 + 6w = 11 + -6w Solving -1 + 6w = 11 + -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. -1 + 6w + 6w = 11 + -6w + 6w Combine like terms: 6w + 6w = 12w -1 + 12w = 11 + -6w + 6w Combine like terms: -6w + 6w = 0 -1 + 12w = 11 + 0 -1 + 12w = 11 Add '1' to each side of the equation. -1 + 1 + 12w = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 12w = 11 + 1 12w = 11 + 1 Combine like terms: 11 + 1 = 12 12w = 12 Divide each side by '12'. w = 1 Simplifying w = 1
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