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Simplifying 7 + -1(w + 6) = -5 Reorder the terms: 7 + -1(6 + w) = -5 7 + (6 * -1 + w * -1) = -5 7 + (-6 + -1w) = -5 Combine like terms: 7 + -6 = 1 1 + -1w = -5 Solving 1 + -1w = -5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1w = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = -5 + -1 -1w = -5 + -1 Combine like terms: -5 + -1 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6
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