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Simplifying -5(2y + -1w + -6) = 0 Reorder the terms: -5(-6 + -1w + 2y) = 0 (-6 * -5 + -1w * -5 + 2y * -5) = 0 (30 + 5w + -10y) = 0 Solving 30 + 5w + -10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 5w + -30 + -10y = 0 + -30 Reorder the terms: 30 + -30 + 5w + -10y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5w + -10y = 0 + -30 5w + -10y = 0 + -30 Combine like terms: 0 + -30 = -30 5w + -10y = -30 Add '10y' to each side of the equation. 5w + -10y + 10y = -30 + 10y Combine like terms: -10y + 10y = 0 5w + 0 = -30 + 10y 5w = -30 + 10y Divide each side by '5'. w = -6 + 2y Simplifying w = -6 + 2y
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