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Simplifying -1(4w + x) + 2(-6x + 6w) = 0 (4w * -1 + x * -1) + 2(-6x + 6w) = 0 (-4w + -1x) + 2(-6x + 6w) = 0 Reorder the terms: -4w + -1x + 2(6w + -6x) = 0 -4w + -1x + (6w * 2 + -6x * 2) = 0 -4w + -1x + (12w + -12x) = 0 Reorder the terms: -4w + 12w + -1x + -12x = 0 Combine like terms: -4w + 12w = 8w 8w + -1x + -12x = 0 Combine like terms: -1x + -12x = -13x 8w + -13x = 0 Solving 8w + -13x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13x' to each side of the equation. 8w + -13x + 13x = 0 + 13x Combine like terms: -13x + 13x = 0 8w + 0 = 0 + 13x 8w = 0 + 13x Remove the zero: 8w = 13x Divide each side by '8'. w = 1.625x Simplifying w = 1.625x
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