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Simplifying -8w + 4 = 9 + -7w + -4 Reorder the terms: 4 + -8w = 9 + -7w + -4 Reorder the terms: 4 + -8w = 9 + -4 + -7w Combine like terms: 9 + -4 = 5 4 + -8w = 5 + -7w Solving 4 + -8w = 5 + -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. 4 + -8w + 7w = 5 + -7w + 7w Combine like terms: -8w + 7w = -1w 4 + -1w = 5 + -7w + 7w Combine like terms: -7w + 7w = 0 4 + -1w = 5 + 0 4 + -1w = 5 Add '-4' to each side of the equation. 4 + -4 + -1w = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 5 + -4 -1w = 5 + -4 Combine like terms: 5 + -4 = 1 -1w = 1 Divide each side by '-1'. w = -1 Simplifying w = -1
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