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Simplifying 6x(5g + -2y + 1m) = 0 Reorder the terms: 6x(5g + 1m + -2y) = 0 (5g * 6x + 1m * 6x + -2y * 6x) = 0 (30gx + 6mx + -12xy) = 0 Solving 30gx + 6mx + -12xy = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6mx' to each side of the equation. 30gx + 6mx + -6mx + -12xy = 0 + -6mx Combine like terms: 6mx + -6mx = 0 30gx + 0 + -12xy = 0 + -6mx 30gx + -12xy = 0 + -6mx Remove the zero: 30gx + -12xy = -6mx Add '12xy' to each side of the equation. 30gx + -12xy + 12xy = -6mx + 12xy Combine like terms: -12xy + 12xy = 0 30gx + 0 = -6mx + 12xy 30gx = -6mx + 12xy Divide each side by '30x'. g = -0.2m + 0.4y Simplifying g = -0.2m + 0.4y
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