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Simplifying -2(4w + -1x) + 6(-5x + -6w) = 0 (4w * -2 + -1x * -2) + 6(-5x + -6w) = 0 (-8w + 2x) + 6(-5x + -6w) = 0 Reorder the terms: -8w + 2x + 6(-6w + -5x) = 0 -8w + 2x + (-6w * 6 + -5x * 6) = 0 -8w + 2x + (-36w + -30x) = 0 Reorder the terms: -8w + -36w + 2x + -30x = 0 Combine like terms: -8w + -36w = -44w -44w + 2x + -30x = 0 Combine like terms: 2x + -30x = -28x -44w + -28x = 0 Solving -44w + -28x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28x' to each side of the equation. -44w + -28x + 28x = 0 + 28x Combine like terms: -28x + 28x = 0 -44w + 0 = 0 + 28x -44w = 0 + 28x Remove the zero: -44w = 28x Divide each side by '-44'. w = -0.6363636364x Simplifying w = -0.6363636364x
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