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Simplifying 6g + 24(-4 + 3g) = 1 + -1g 6g + (-4 * 24 + 3g * 24) = 1 + -1g 6g + (-96 + 72g) = 1 + -1g Reorder the terms: -96 + 6g + 72g = 1 + -1g Combine like terms: 6g + 72g = 78g -96 + 78g = 1 + -1g Solving -96 + 78g = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -96 + 78g + g = 1 + -1g + g Combine like terms: 78g + g = 79g -96 + 79g = 1 + -1g + g Combine like terms: -1g + g = 0 -96 + 79g = 1 + 0 -96 + 79g = 1 Add '96' to each side of the equation. -96 + 96 + 79g = 1 + 96 Combine like terms: -96 + 96 = 0 0 + 79g = 1 + 96 79g = 1 + 96 Combine like terms: 1 + 96 = 97 79g = 97 Divide each side by '79'. g = 1.227848101 Simplifying g = 1.227848101
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