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Simplifying 6w + -2(6x + -5w) + -3x = 0 Reorder the terms: 6w + -2(-5w + 6x) + -3x = 0 6w + (-5w * -2 + 6x * -2) + -3x = 0 6w + (10w + -12x) + -3x = 0 Combine like terms: 6w + 10w = 16w 16w + -12x + -3x = 0 Combine like terms: -12x + -3x = -15x 16w + -15x = 0 Solving 16w + -15x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15x' to each side of the equation. 16w + -15x + 15x = 0 + 15x Combine like terms: -15x + 15x = 0 16w + 0 = 0 + 15x 16w = 0 + 15x Remove the zero: 16w = 15x Divide each side by '16'. w = 0.9375x Simplifying w = 0.9375x
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