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Simplifying 3g + 4(-6 + 2g) = 1 + -1g 3g + (-6 * 4 + 2g * 4) = 1 + -1g 3g + (-24 + 8g) = 1 + -1g Reorder the terms: -24 + 3g + 8g = 1 + -1g Combine like terms: 3g + 8g = 11g -24 + 11g = 1 + -1g Solving -24 + 11g = 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 + 11g + g = 1 + -1g + g Combine like terms: 11g + g = 12g -24 + 12g = 1 + -1g + g Combine like terms: -1g + g = 0 -24 + 12g = 1 + 0 -24 + 12g = 1 Add '24' to each side of the equation. -24 + 24 + 12g = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 12g = 1 + 24 12g = 1 + 24 Combine like terms: 1 + 24 = 25 12g = 25 Divide each side by '12'. g = 2.083333333 Simplifying g = 2.083333333
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