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Simplifying 2g + 3(-7 + 2g) = 1 + -1g 2g + (-7 * 3 + 2g * 3) = 1 + -1g 2g + (-21 + 6g) = 1 + -1g Reorder the terms: -21 + 2g + 6g = 1 + -1g Combine like terms: 2g + 6g = 8g -21 + 8g = 1 + -1g Solving -21 + 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. -21 + 8g + g = 1 + -1g + g Combine like terms: 8g + g = 9g -21 + 9g = 1 + -1g + g Combine like terms: -1g + g = 0 -21 + 9g = 1 + 0 -21 + 9g = 1 Add '21' to each side of the equation. -21 + 21 + 9g = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 9g = 1 + 21 9g = 1 + 21 Combine like terms: 1 + 21 = 22 9g = 22 Divide each side by '9'. g = 2.444444444 Simplifying g = 2.444444444
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