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Simplifying 7w + 7 = 8w + 9 Reorder the terms: 7 + 7w = 8w + 9 Reorder the terms: 7 + 7w = 9 + 8w Solving 7 + 7w = 9 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 7 + 7w + -8w = 9 + 8w + -8w Combine like terms: 7w + -8w = -1w 7 + -1w = 9 + 8w + -8w Combine like terms: 8w + -8w = 0 7 + -1w = 9 + 0 7 + -1w = 9 Add '-7' to each side of the equation. 7 + -7 + -1w = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 9 + -7 -1w = 9 + -7 Combine like terms: 9 + -7 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2
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