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Simplifying 3g + -3(-7 + -2g) = 1 + -1g 3g + (-7 * -3 + -2g * -3) = 1 + -1g 3g + (21 + 6g) = 1 + -1g Reorder the terms: 21 + 3g + 6g = 1 + -1g Combine like terms: 3g + 6g = 9g 21 + 9g = 1 + -1g Solving 21 + 9g = 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 + 9g + g = 1 + -1g + g Combine like terms: 9g + g = 10g 21 + 10g = 1 + -1g + g Combine like terms: -1g + g = 0 21 + 10g = 1 + 0 21 + 10g = 1 Add '-21' to each side of the equation. 21 + -21 + 10g = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 10g = 1 + -21 10g = 1 + -21 Combine like terms: 1 + -21 = -20 10g = -20 Divide each side by '10'. g = -2 Simplifying g = -2
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