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Simplifying -12 + 5w = -1w + 18 Reorder the terms: -12 + 5w = 18 + -1w Solving -12 + 5w = 18 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -12 + 5w + w = 18 + -1w + w Combine like terms: 5w + w = 6w -12 + 6w = 18 + -1w + w Combine like terms: -1w + w = 0 -12 + 6w = 18 + 0 -12 + 6w = 18 Add '12' to each side of the equation. -12 + 12 + 6w = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 6w = 18 + 12 6w = 18 + 12 Combine like terms: 18 + 12 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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