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