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Simplifying 4(2 + 3g) + -3(2 + -1g) = 0 (2 * 4 + 3g * 4) + -3(2 + -1g) = 0 (8 + 12g) + -3(2 + -1g) = 0 8 + 12g + (2 * -3 + -1g * -3) = 0 8 + 12g + (-6 + 3g) = 0 Reorder the terms: 8 + -6 + 12g + 3g = 0 Combine like terms: 8 + -6 = 2 2 + 12g + 3g = 0 Combine like terms: 12g + 3g = 15g 2 + 15g = 0 Solving 2 + 15g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 15g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 15g = 0 + -2 15g = 0 + -2 Combine like terms: 0 + -2 = -2 15g = -2 Divide each side by '15'. g = -0.1333333333 Simplifying g = -0.1333333333
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