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Simplifying 3(4 + 6) = 2(6g + 9) Combine like terms: 4 + 6 = 10 3(10) = 2(6g + 9) Multiply 3 * 10 30 = 2(6g + 9) Reorder the terms: 30 = 2(9 + 6g) 30 = (9 * 2 + 6g * 2) 30 = (18 + 12g) Solving 30 = 18 + 12g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12g' to each side of the equation. 30 + -12g = 18 + 12g + -12g Combine like terms: 12g + -12g = 0 30 + -12g = 18 + 0 30 + -12g = 18 Add '-30' to each side of the equation. 30 + -30 + -12g = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -12g = 18 + -30 -12g = 18 + -30 Combine like terms: 18 + -30 = -12 -12g = -12 Divide each side by '-12'. g = 1 Simplifying g = 1
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