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Simplifying 10t + 3(4g + -1t) = 0 10t + (4g * 3 + -1t * 3) = 0 10t + (12g + -3t) = 0 Reorder the terms: 12g + 10t + -3t = 0 Combine like terms: 10t + -3t = 7t 12g + 7t = 0 Solving 12g + 7t = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7t' to each side of the equation. 12g + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 12g + 0 = 0 + -7t 12g = 0 + -7t Remove the zero: 12g = -7t Divide each side by '12'. g = -0.5833333333t Simplifying g = -0.5833333333t
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