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Simplifying 6w + -7 = 5w + 7 Reorder the terms: -7 + 6w = 5w + 7 Reorder the terms: -7 + 6w = 7 + 5w Solving -7 + 6w = 7 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -7 + 6w + -5w = 7 + 5w + -5w Combine like terms: 6w + -5w = 1w -7 + 1w = 7 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + 1w = 7 + 0 -7 + 1w = 7 Add '7' to each side of the equation. -7 + 7 + 1w = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1w = 7 + 7 1w = 7 + 7 Combine like terms: 7 + 7 = 14 1w = 14 Divide each side by '1'. w = 14 Simplifying w = 14
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