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Simplifying -1(x + w) + 3(6w + 3x) = 0 Reorder the terms: -1(w + x) + 3(6w + 3x) = 0 (w * -1 + x * -1) + 3(6w + 3x) = 0 (-1w + -1x) + 3(6w + 3x) = 0 -1w + -1x + (6w * 3 + 3x * 3) = 0 -1w + -1x + (18w + 9x) = 0 Reorder the terms: -1w + 18w + -1x + 9x = 0 Combine like terms: -1w + 18w = 17w 17w + -1x + 9x = 0 Combine like terms: -1x + 9x = 8x 17w + 8x = 0 Solving 17w + 8x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. 17w + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 17w + 0 = 0 + -8x 17w = 0 + -8x Remove the zero: 17w = -8x Divide each side by '17'. w = -0.4705882353x Simplifying w = -0.4705882353x
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