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Simplifying 2 + -3 + 7w = 8w + 3 Combine like terms: 2 + -3 = -1 -1 + 7w = 8w + 3 Reorder the terms: -1 + 7w = 3 + 8w Solving -1 + 7w = 3 + 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. -1 + 7w + -8w = 3 + 8w + -8w Combine like terms: 7w + -8w = -1w -1 + -1w = 3 + 8w + -8w Combine like terms: 8w + -8w = 0 -1 + -1w = 3 + 0 -1 + -1w = 3 Add '1' to each side of the equation. -1 + 1 + -1w = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -1w = 3 + 1 -1w = 3 + 1 Combine like terms: 3 + 1 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4
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