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Simplifying 2g + 4(-6 + 5g) = 1 + -1g 2g + (-6 * 4 + 5g * 4) = 1 + -1g 2g + (-24 + 20g) = 1 + -1g Reorder the terms: -24 + 2g + 20g = 1 + -1g Combine like terms: 2g + 20g = 22g -24 + 22g = 1 + -1g Solving -24 + 22g = 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. -24 + 22g + g = 1 + -1g + g Combine like terms: 22g + g = 23g -24 + 23g = 1 + -1g + g Combine like terms: -1g + g = 0 -24 + 23g = 1 + 0 -24 + 23g = 1 Add '24' to each side of the equation. -24 + 24 + 23g = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 23g = 1 + 24 23g = 1 + 24 Combine like terms: 1 + 24 = 25 23g = 25 Divide each side by '23'. g = 1.086956522 Simplifying g = 1.086956522
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