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Simplifying 7w + -8 = 6w + 1 Reorder the terms: -8 + 7w = 6w + 1 Reorder the terms: -8 + 7w = 1 + 6w Solving -8 + 7w = 1 + 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. -8 + 7w + -6w = 1 + 6w + -6w Combine like terms: 7w + -6w = 1w -8 + 1w = 1 + 6w + -6w Combine like terms: 6w + -6w = 0 -8 + 1w = 1 + 0 -8 + 1w = 1 Add '8' to each side of the equation. -8 + 8 + 1w = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1w = 1 + 8 1w = 1 + 8 Combine like terms: 1 + 8 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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