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Simplifying 5(9 + -1w) = -10 (9 * 5 + -1w * 5) = -10 (45 + -5w) = -10 Solving 45 + -5w = -10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -5w = -10 + -45 Combine like terms: 45 + -45 = 0 0 + -5w = -10 + -45 -5w = -10 + -45 Combine like terms: -10 + -45 = -55 -5w = -55 Divide each side by '-5'. w = 11 Simplifying w = 11
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