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Simplifying 12w + -7 + 1 = 6w Reorder the terms: -7 + 1 + 12w = 6w Combine like terms: -7 + 1 = -6 -6 + 12w = 6w Solving -6 + 12w = 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. -6 + 12w + -6w = 6w + -6w Combine like terms: 12w + -6w = 6w -6 + 6w = 6w + -6w Combine like terms: 6w + -6w = 0 -6 + 6w = 0 Add '6' to each side of the equation. -6 + 6 + 6w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6w = 0 + 6 6w = 0 + 6 Combine like terms: 0 + 6 = 6 6w = 6 Divide each side by '6'. w = 1 Simplifying w = 1
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