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Simplifying 7w + 10 = 8w + 13 Reorder the terms: 10 + 7w = 8w + 13 Reorder the terms: 10 + 7w = 13 + 8w Solving 10 + 7w = 13 + 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. 10 + 7w + -8w = 13 + 8w + -8w Combine like terms: 7w + -8w = -1w 10 + -1w = 13 + 8w + -8w Combine like terms: 8w + -8w = 0 10 + -1w = 13 + 0 10 + -1w = 13 Add '-10' to each side of the equation. 10 + -10 + -1w = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 13 + -10 -1w = 13 + -10 Combine like terms: 13 + -10 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3
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