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Simplifying 5(-2w + x) + -3(-6x + -5w) = 0 (-2w * 5 + x * 5) + -3(-6x + -5w) = 0 (-10w + 5x) + -3(-6x + -5w) = 0 Reorder the terms: -10w + 5x + -3(-5w + -6x) = 0 -10w + 5x + (-5w * -3 + -6x * -3) = 0 -10w + 5x + (15w + 18x) = 0 Reorder the terms: -10w + 15w + 5x + 18x = 0 Combine like terms: -10w + 15w = 5w 5w + 5x + 18x = 0 Combine like terms: 5x + 18x = 23x 5w + 23x = 0 Solving 5w + 23x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23x' to each side of the equation. 5w + 23x + -23x = 0 + -23x Combine like terms: 23x + -23x = 0 5w + 0 = 0 + -23x 5w = 0 + -23x Remove the zero: 5w = -23x Divide each side by '5'. w = -4.6x Simplifying w = -4.6x
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