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Simplifying 10w + 7 = w + -11 Reorder the terms: 7 + 10w = w + -11 Reorder the terms: 7 + 10w = -11 + w Solving 7 + 10w = -11 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 7 + 10w + -1w = -11 + w + -1w Combine like terms: 10w + -1w = 9w 7 + 9w = -11 + w + -1w Combine like terms: w + -1w = 0 7 + 9w = -11 + 0 7 + 9w = -11 Add '-7' to each side of the equation. 7 + -7 + 9w = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 9w = -11 + -7 9w = -11 + -7 Combine like terms: -11 + -7 = -18 9w = -18 Divide each side by '9'. w = -2 Simplifying w = -2
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