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Simplifying 8w + 1 = 7w + -20 Reorder the terms: 1 + 8w = 7w + -20 Reorder the terms: 1 + 8w = -20 + 7w Solving 1 + 8w = -20 + 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. 1 + 8w + -7w = -20 + 7w + -7w Combine like terms: 8w + -7w = 1w 1 + 1w = -20 + 7w + -7w Combine like terms: 7w + -7w = 0 1 + 1w = -20 + 0 1 + 1w = -20 Add '-1' to each side of the equation. 1 + -1 + 1w = -20 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = -20 + -1 1w = -20 + -1 Combine like terms: -20 + -1 = -21 1w = -21 Divide each side by '1'. w = -21 Simplifying w = -21
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