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Simplifying -1(7w + -1) = 7w + 13 Reorder the terms: -1(-1 + 7w) = 7w + 13 (-1 * -1 + 7w * -1) = 7w + 13 (1 + -7w) = 7w + 13 Reorder the terms: 1 + -7w = 13 + 7w Solving 1 + -7w = 13 + 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 + -7w + -7w = 13 + 7w + -7w Combine like terms: -7w + -7w = -14w 1 + -14w = 13 + 7w + -7w Combine like terms: 7w + -7w = 0 1 + -14w = 13 + 0 1 + -14w = 13 Add '-1' to each side of the equation. 1 + -1 + -14w = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -14w = 13 + -1 -14w = 13 + -1 Combine like terms: 13 + -1 = 12 -14w = 12 Divide each side by '-14'. w = -0.8571428571 Simplifying w = -0.8571428571
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