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Simplifying 8w + 5 = 7w + -21 Reorder the terms: 5 + 8w = 7w + -21 Reorder the terms: 5 + 8w = -21 + 7w Solving 5 + 8w = -21 + 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. 5 + 8w + -7w = -21 + 7w + -7w Combine like terms: 8w + -7w = 1w 5 + 1w = -21 + 7w + -7w Combine like terms: 7w + -7w = 0 5 + 1w = -21 + 0 5 + 1w = -21 Add '-5' to each side of the equation. 5 + -5 + 1w = -21 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = -21 + -5 1w = -21 + -5 Combine like terms: -21 + -5 = -26 1w = -26 Divide each side by '1'. w = -26 Simplifying w = -26
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