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Simplifying -1w + -5 = -6w + 5 Reorder the terms: -5 + -1w = -6w + 5 Reorder the terms: -5 + -1w = 5 + -6w Solving -5 + -1w = 5 + -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. -5 + -1w + 6w = 5 + -6w + 6w Combine like terms: -1w + 6w = 5w -5 + 5w = 5 + -6w + 6w Combine like terms: -6w + 6w = 0 -5 + 5w = 5 + 0 -5 + 5w = 5 Add '5' to each side of the equation. -5 + 5 + 5w = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5w = 5 + 5 5w = 5 + 5 Combine like terms: 5 + 5 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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