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