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Simplifying 3(2g + 12) = 51 + 3g Reorder the terms: 3(12 + 2g) = 51 + 3g (12 * 3 + 2g * 3) = 51 + 3g (36 + 6g) = 51 + 3g Solving 36 + 6g = 51 + 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. 36 + 6g + -3g = 51 + 3g + -3g Combine like terms: 6g + -3g = 3g 36 + 3g = 51 + 3g + -3g Combine like terms: 3g + -3g = 0 36 + 3g = 51 + 0 36 + 3g = 51 Add '-36' to each side of the equation. 36 + -36 + 3g = 51 + -36 Combine like terms: 36 + -36 = 0 0 + 3g = 51 + -36 3g = 51 + -36 Combine like terms: 51 + -36 = 15 3g = 15 Divide each side by '3'. g = 5 Simplifying g = 5
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