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Simplifying -2(3w + -1x) + -5(-6x + 4w) = 0 (3w * -2 + -1x * -2) + -5(-6x + 4w) = 0 (-6w + 2x) + -5(-6x + 4w) = 0 Reorder the terms: -6w + 2x + -5(4w + -6x) = 0 -6w + 2x + (4w * -5 + -6x * -5) = 0 -6w + 2x + (-20w + 30x) = 0 Reorder the terms: -6w + -20w + 2x + 30x = 0 Combine like terms: -6w + -20w = -26w -26w + 2x + 30x = 0 Combine like terms: 2x + 30x = 32x -26w + 32x = 0 Solving -26w + 32x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32x' to each side of the equation. -26w + 32x + -32x = 0 + -32x Combine like terms: 32x + -32x = 0 -26w + 0 = 0 + -32x -26w = 0 + -32x Remove the zero: -26w = -32x Divide each side by '-26'. w = 1.230769231x Simplifying w = 1.230769231x
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