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Simplifying 3w + -2(-5x + 6w) + -4x = 0 Reorder the terms: 3w + -2(6w + -5x) + -4x = 0 3w + (6w * -2 + -5x * -2) + -4x = 0 3w + (-12w + 10x) + -4x = 0 Combine like terms: 3w + -12w = -9w -9w + 10x + -4x = 0 Combine like terms: 10x + -4x = 6x -9w + 6x = 0 Solving -9w + 6x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6x' to each side of the equation. -9w + 6x + -6x = 0 + -6x Combine like terms: 6x + -6x = 0 -9w + 0 = 0 + -6x -9w = 0 + -6x Remove the zero: -9w = -6x Divide each side by '-9'. w = 0.6666666667x Simplifying w = 0.6666666667x
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