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Simplifying 4(6 + 5g) + 7(3 + -1g) = 0 (6 * 4 + 5g * 4) + 7(3 + -1g) = 0 (24 + 20g) + 7(3 + -1g) = 0 24 + 20g + (3 * 7 + -1g * 7) = 0 24 + 20g + (21 + -7g) = 0 Reorder the terms: 24 + 21 + 20g + -7g = 0 Combine like terms: 24 + 21 = 45 45 + 20g + -7g = 0 Combine like terms: 20g + -7g = 13g 45 + 13g = 0 Solving 45 + 13g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 13g = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 13g = 0 + -45 13g = 0 + -45 Combine like terms: 0 + -45 = -45 13g = -45 Divide each side by '13'. g = -3.461538462 Simplifying g = -3.461538462
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