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Simplifying 3w + -3(-5x + 3w) + 6x = 0 Reorder the terms: 3w + -3(3w + -5x) + 6x = 0 3w + (3w * -3 + -5x * -3) + 6x = 0 3w + (-9w + 15x) + 6x = 0 Combine like terms: 3w + -9w = -6w -6w + 15x + 6x = 0 Combine like terms: 15x + 6x = 21x -6w + 21x = 0 Solving -6w + 21x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21x' to each side of the equation. -6w + 21x + -21x = 0 + -21x Combine like terms: 21x + -21x = 0 -6w + 0 = 0 + -21x -6w = 0 + -21x Remove the zero: -6w = -21x Divide each side by '-6'. w = 3.5x Simplifying w = 3.5x
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