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Simplifying -7g + 2 + -1g = 6(-3g + 12) Reorder the terms: 2 + -7g + -1g = 6(-3g + 12) Combine like terms: -7g + -1g = -8g 2 + -8g = 6(-3g + 12) Reorder the terms: 2 + -8g = 6(12 + -3g) 2 + -8g = (12 * 6 + -3g * 6) 2 + -8g = (72 + -18g) Solving 2 + -8g = 72 + -18g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '18g' to each side of the equation. 2 + -8g + 18g = 72 + -18g + 18g Combine like terms: -8g + 18g = 10g 2 + 10g = 72 + -18g + 18g Combine like terms: -18g + 18g = 0 2 + 10g = 72 + 0 2 + 10g = 72 Add '-2' to each side of the equation. 2 + -2 + 10g = 72 + -2 Combine like terms: 2 + -2 = 0 0 + 10g = 72 + -2 10g = 72 + -2 Combine like terms: 72 + -2 = 70 10g = 70 Divide each side by '10'. g = 7 Simplifying g = 7
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