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Simplifying -12g + 4 + -2 = 6(-6g + 13) + -4 Reorder the terms: 4 + -2 + -12g = 6(-6g + 13) + -4 Combine like terms: 4 + -2 = 2 2 + -12g = 6(-6g + 13) + -4 Reorder the terms: 2 + -12g = 6(13 + -6g) + -4 2 + -12g = (13 * 6 + -6g * 6) + -4 2 + -12g = (78 + -36g) + -4 Reorder the terms: 2 + -12g = 78 + -4 + -36g Combine like terms: 78 + -4 = 74 2 + -12g = 74 + -36g Solving 2 + -12g = 74 + -36g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '36g' to each side of the equation. 2 + -12g + 36g = 74 + -36g + 36g Combine like terms: -12g + 36g = 24g 2 + 24g = 74 + -36g + 36g Combine like terms: -36g + 36g = 0 2 + 24g = 74 + 0 2 + 24g = 74 Add '-2' to each side of the equation. 2 + -2 + 24g = 74 + -2 Combine like terms: 2 + -2 = 0 0 + 24g = 74 + -2 24g = 74 + -2 Combine like terms: 74 + -2 = 72 24g = 72 Divide each side by '24'. g = 3 Simplifying g = 3
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