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Simplifying 3(2g + -1) + 7 = 3g + 16 Reorder the terms: 3(-1 + 2g) + 7 = 3g + 16 (-1 * 3 + 2g * 3) + 7 = 3g + 16 (-3 + 6g) + 7 = 3g + 16 Reorder the terms: -3 + 7 + 6g = 3g + 16 Combine like terms: -3 + 7 = 4 4 + 6g = 3g + 16 Reorder the terms: 4 + 6g = 16 + 3g Solving 4 + 6g = 16 + 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. 4 + 6g + -3g = 16 + 3g + -3g Combine like terms: 6g + -3g = 3g 4 + 3g = 16 + 3g + -3g Combine like terms: 3g + -3g = 0 4 + 3g = 16 + 0 4 + 3g = 16 Add '-4' to each side of the equation. 4 + -4 + 3g = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 3g = 16 + -4 3g = 16 + -4 Combine like terms: 16 + -4 = 12 3g = 12 Divide each side by '3'. g = 4 Simplifying g = 4
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