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Simplifying 7w + -14 = 8w + 10 Reorder the terms: -14 + 7w = 8w + 10 Reorder the terms: -14 + 7w = 10 + 8w Solving -14 + 7w = 10 + 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. -14 + 7w + -8w = 10 + 8w + -8w Combine like terms: 7w + -8w = -1w -14 + -1w = 10 + 8w + -8w Combine like terms: 8w + -8w = 0 -14 + -1w = 10 + 0 -14 + -1w = 10 Add '14' to each side of the equation. -14 + 14 + -1w = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -1w = 10 + 14 -1w = 10 + 14 Combine like terms: 10 + 14 = 24 -1w = 24 Divide each side by '-1'. w = -24 Simplifying w = -24
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