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Simplifying 7(w + 1) = 9 + -1w Reorder the terms: 7(1 + w) = 9 + -1w (1 * 7 + w * 7) = 9 + -1w (7 + 7w) = 9 + -1w Solving 7 + 7w = 9 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 7 + 7w + w = 9 + -1w + w Combine like terms: 7w + w = 8w 7 + 8w = 9 + -1w + w Combine like terms: -1w + w = 0 7 + 8w = 9 + 0 7 + 8w = 9 Add '-7' to each side of the equation. 7 + -7 + 8w = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 8w = 9 + -7 8w = 9 + -7 Combine like terms: 9 + -7 = 2 8w = 2 Divide each side by '8'. w = 0.25 Simplifying w = 0.25
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