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