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Simplifying -3(-4w + -1x) + -2(5x + 2w) = 0 (-4w * -3 + -1x * -3) + -2(5x + 2w) = 0 (12w + 3x) + -2(5x + 2w) = 0 Reorder the terms: 12w + 3x + -2(2w + 5x) = 0 12w + 3x + (2w * -2 + 5x * -2) = 0 12w + 3x + (-4w + -10x) = 0 Reorder the terms: 12w + -4w + 3x + -10x = 0 Combine like terms: 12w + -4w = 8w 8w + 3x + -10x = 0 Combine like terms: 3x + -10x = -7x 8w + -7x = 0 Solving 8w + -7x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7x' to each side of the equation. 8w + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 8w + 0 = 0 + 7x 8w = 0 + 7x Remove the zero: 8w = 7x Divide each side by '8'. w = 0.875x Simplifying w = 0.875x
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