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