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Simplifying 2g + 3(-5 + 2g) = 1 + -1g 2g + (-5 * 3 + 2g * 3) = 1 + -1g 2g + (-15 + 6g) = 1 + -1g Reorder the terms: -15 + 2g + 6g = 1 + -1g Combine like terms: 2g + 6g = 8g -15 + 8g = 1 + -1g Solving -15 + 8g = 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. -15 + 8g + g = 1 + -1g + g Combine like terms: 8g + g = 9g -15 + 9g = 1 + -1g + g Combine like terms: -1g + g = 0 -15 + 9g = 1 + 0 -15 + 9g = 1 Add '15' to each side of the equation. -15 + 15 + 9g = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 9g = 1 + 15 9g = 1 + 15 Combine like terms: 1 + 15 = 16 9g = 16 Divide each side by '9'. g = 1.777777778 Simplifying g = 1.777777778
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