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Simplifying 3(9 + 2g) + -3(g + -12) = 7g + 23 + -12g (9 * 3 + 2g * 3) + -3(g + -12) = 7g + 23 + -12g (27 + 6g) + -3(g + -12) = 7g + 23 + -12g Reorder the terms: 27 + 6g + -3(-12 + g) = 7g + 23 + -12g 27 + 6g + (-12 * -3 + g * -3) = 7g + 23 + -12g 27 + 6g + (36 + -3g) = 7g + 23 + -12g Reorder the terms: 27 + 36 + 6g + -3g = 7g + 23 + -12g Combine like terms: 27 + 36 = 63 63 + 6g + -3g = 7g + 23 + -12g Combine like terms: 6g + -3g = 3g 63 + 3g = 7g + 23 + -12g Reorder the terms: 63 + 3g = 23 + 7g + -12g Combine like terms: 7g + -12g = -5g 63 + 3g = 23 + -5g Solving 63 + 3g = 23 + -5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5g' to each side of the equation. 63 + 3g + 5g = 23 + -5g + 5g Combine like terms: 3g + 5g = 8g 63 + 8g = 23 + -5g + 5g Combine like terms: -5g + 5g = 0 63 + 8g = 23 + 0 63 + 8g = 23 Add '-63' to each side of the equation. 63 + -63 + 8g = 23 + -63 Combine like terms: 63 + -63 = 0 0 + 8g = 23 + -63 8g = 23 + -63 Combine like terms: 23 + -63 = -40 8g = -40 Divide each side by '8'. g = -5 Simplifying g = -5
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