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Simplifying -4w + -3(-5x + 6w) + -3x = 0 Reorder the terms: -4w + -3(6w + -5x) + -3x = 0 -4w + (6w * -3 + -5x * -3) + -3x = 0 -4w + (-18w + 15x) + -3x = 0 Combine like terms: -4w + -18w = -22w -22w + 15x + -3x = 0 Combine like terms: 15x + -3x = 12x -22w + 12x = 0 Solving -22w + 12x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. -22w + 12x + -12x = 0 + -12x Combine like terms: 12x + -12x = 0 -22w + 0 = 0 + -12x -22w = 0 + -12x Remove the zero: -22w = -12x Divide each side by '-22'. w = 0.5454545455x Simplifying w = 0.5454545455x
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