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Simplifying 7(g + 8) = 3(g + 12) Reorder the terms: 7(8 + g) = 3(g + 12) (8 * 7 + g * 7) = 3(g + 12) (56 + 7g) = 3(g + 12) Reorder the terms: 56 + 7g = 3(12 + g) 56 + 7g = (12 * 3 + g * 3) 56 + 7g = (36 + 3g) Solving 56 + 7g = 36 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. 56 + 7g + -3g = 36 + 3g + -3g Combine like terms: 7g + -3g = 4g 56 + 4g = 36 + 3g + -3g Combine like terms: 3g + -3g = 0 56 + 4g = 36 + 0 56 + 4g = 36 Add '-56' to each side of the equation. 56 + -56 + 4g = 36 + -56 Combine like terms: 56 + -56 = 0 0 + 4g = 36 + -56 4g = 36 + -56 Combine like terms: 36 + -56 = -20 4g = -20 Divide each side by '4'. g = -5 Simplifying g = -5
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