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Simplifying 7w + -9 = 6w + 5 Reorder the terms: -9 + 7w = 6w + 5 Reorder the terms: -9 + 7w = 5 + 6w Solving -9 + 7w = 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. -9 + 7w + -6w = 5 + 6w + -6w Combine like terms: 7w + -6w = 1w -9 + 1w = 5 + 6w + -6w Combine like terms: 6w + -6w = 0 -9 + 1w = 5 + 0 -9 + 1w = 5 Add '9' to each side of the equation. -9 + 9 + 1w = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 1w = 5 + 9 1w = 5 + 9 Combine like terms: 5 + 9 = 14 1w = 14 Divide each side by '1'. w = 14 Simplifying w = 14
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