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Simplifying 8 + 10w = -8 + -7w + -1 Reorder the terms: 8 + 10w = -8 + -1 + -7w Combine like terms: -8 + -1 = -9 8 + 10w = -9 + -7w Solving 8 + 10w = -9 + -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 + 10w + 7w = -9 + -7w + 7w Combine like terms: 10w + 7w = 17w 8 + 17w = -9 + -7w + 7w Combine like terms: -7w + 7w = 0 8 + 17w = -9 + 0 8 + 17w = -9 Add '-8' to each side of the equation. 8 + -8 + 17w = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 17w = -9 + -8 17w = -9 + -8 Combine like terms: -9 + -8 = -17 17w = -17 Divide each side by '17'. w = -1 Simplifying w = -1
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