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Simplifying 1 = -1[w + 6] Reorder the terms: 1 = -1[6 + w] 1 = [6 * -1 + w * -1] 1 = [-6 + -1w] Solving 1 = -6 + -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. 1 + w = -6 + -1w + w Combine like terms: -1w + w = 0 1 + w = -6 + 0 1 + w = -6 Add '-1' to each side of the equation. 1 + -1 + w = -6 + -1 Combine like terms: 1 + -1 = 0 0 + w = -6 + -1 w = -6 + -1 Combine like terms: -6 + -1 = -7 w = -7 Simplifying w = -7
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