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Simplifying 4(g + 7) + 9(5g + -2) = 0 Reorder the terms: 4(7 + g) + 9(5g + -2) = 0 (7 * 4 + g * 4) + 9(5g + -2) = 0 (28 + 4g) + 9(5g + -2) = 0 Reorder the terms: 28 + 4g + 9(-2 + 5g) = 0 28 + 4g + (-2 * 9 + 5g * 9) = 0 28 + 4g + (-18 + 45g) = 0 Reorder the terms: 28 + -18 + 4g + 45g = 0 Combine like terms: 28 + -18 = 10 10 + 4g + 45g = 0 Combine like terms: 4g + 45g = 49g 10 + 49g = 0 Solving 10 + 49g = 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 + 49g = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 49g = 0 + -10 49g = 0 + -10 Combine like terms: 0 + -10 = -10 49g = -10 Divide each side by '49'. g = -0.2040816327 Simplifying g = -0.2040816327
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