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Simplifying -6 = -1(1 + w) -6 = (1 * -1 + w * -1) -6 = (-1 + -1w) Solving -6 = -1 + -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. -6 + w = -1 + -1w + w Combine like terms: -1w + w = 0 -6 + w = -1 + 0 -6 + w = -1 Add '6' to each side of the equation. -6 + 6 + w = -1 + 6 Combine like terms: -6 + 6 = 0 0 + w = -1 + 6 w = -1 + 6 Combine like terms: -1 + 6 = 5 w = 5 Simplifying w = 5
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