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Simplifying 7 + -10 = 8 + w + -34 Combine like terms: 7 + -10 = -3 -3 = 8 + w + -34 Reorder the terms: -3 = 8 + -34 + w Combine like terms: 8 + -34 = -26 -3 = -26 + w Solving -3 = -26 + 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. -3 + -1w = -26 + w + -1w Combine like terms: w + -1w = 0 -3 + -1w = -26 + 0 -3 + -1w = -26 Add '3' to each side of the equation. -3 + 3 + -1w = -26 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = -26 + 3 -1w = -26 + 3 Combine like terms: -26 + 3 = -23 -1w = -23 Divide each side by '-1'. w = 23 Simplifying w = 23
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