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Simplifying 2(3g + 1) = 2g(2 + 4) Reorder the terms: 2(1 + 3g) = 2g(2 + 4) (1 * 2 + 3g * 2) = 2g(2 + 4) (2 + 6g) = 2g(2 + 4) Combine like terms: 2 + 4 = 6 2 + 6g = 2g(6) Reorder the terms for easier multiplication: 2 + 6g = 2 * 6g Multiply 2 * 6 2 + 6g = 12g Solving 2 + 6g = 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. 2 + 6g + -12g = 12g + -12g Combine like terms: 6g + -12g = -6g 2 + -6g = 12g + -12g Combine like terms: 12g + -12g = 0 2 + -6g = 0 Add '-2' to each side of the equation. 2 + -2 + -6g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6g = 0 + -2 -6g = 0 + -2 Combine like terms: 0 + -2 = -2 -6g = -2 Divide each side by '-6'. g = 0.3333333333 Simplifying g = 0.3333333333
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