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Simplifying -1(6x + -1w) + 3(-6w + x) = 0 Reorder the terms: -1(-1w + 6x) + 3(-6w + x) = 0 (-1w * -1 + 6x * -1) + 3(-6w + x) = 0 (1w + -6x) + 3(-6w + x) = 0 1w + -6x + (-6w * 3 + x * 3) = 0 1w + -6x + (-18w + 3x) = 0 Reorder the terms: 1w + -18w + -6x + 3x = 0 Combine like terms: 1w + -18w = -17w -17w + -6x + 3x = 0 Combine like terms: -6x + 3x = -3x -17w + -3x = 0 Solving -17w + -3x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3x' to each side of the equation. -17w + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 -17w + 0 = 0 + 3x -17w = 0 + 3x Remove the zero: -17w = 3x Divide each side by '-17'. w = -0.1764705882x Simplifying w = -0.1764705882x
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