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Simplifying -8 + -10w = 8 + -9w + -7 Reorder the terms: -8 + -10w = 8 + -7 + -9w Combine like terms: 8 + -7 = 1 -8 + -10w = 1 + -9w Solving -8 + -10w = 1 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -8 + -10w + 9w = 1 + -9w + 9w Combine like terms: -10w + 9w = -1w -8 + -1w = 1 + -9w + 9w Combine like terms: -9w + 9w = 0 -8 + -1w = 1 + 0 -8 + -1w = 1 Add '8' to each side of the equation. -8 + 8 + -1w = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = 1 + 8 -1w = 1 + 8 Combine like terms: 1 + 8 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9
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