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Simplifying 1 = -1(-1w + 6) Reorder the terms: 1 = -1(6 + -1w) 1 = (6 * -1 + -1w * -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 '-1w' to each side of the equation. 1 + -1w = -6 + 1w + -1w Combine like terms: 1w + -1w = 0 1 + -1w = -6 + 0 1 + -1w = -6 Add '-1' to each side of the equation. 1 + -1 + -1w = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = -6 + -1 -1w = -6 + -1 Combine like terms: -6 + -1 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7
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