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Simplifying 3(2 + 5g) + 4(3g + -4) = 0 (2 * 3 + 5g * 3) + 4(3g + -4) = 0 (6 + 15g) + 4(3g + -4) = 0 Reorder the terms: 6 + 15g + 4(-4 + 3g) = 0 6 + 15g + (-4 * 4 + 3g * 4) = 0 6 + 15g + (-16 + 12g) = 0 Reorder the terms: 6 + -16 + 15g + 12g = 0 Combine like terms: 6 + -16 = -10 -10 + 15g + 12g = 0 Combine like terms: 15g + 12g = 27g -10 + 27g = 0 Solving -10 + 27g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 27g = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 27g = 0 + 10 27g = 0 + 10 Combine like terms: 0 + 10 = 10 27g = 10 Divide each side by '27'. g = 0.3703703704 Simplifying g = 0.3703703704
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