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Simplifying 2(g + 5) = 3(2g + 4) Reorder the terms: 2(5 + g) = 3(2g + 4) (5 * 2 + g * 2) = 3(2g + 4) (10 + 2g) = 3(2g + 4) Reorder the terms: 10 + 2g = 3(4 + 2g) 10 + 2g = (4 * 3 + 2g * 3) 10 + 2g = (12 + 6g) Solving 10 + 2g = 12 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 10 + 2g + -6g = 12 + 6g + -6g Combine like terms: 2g + -6g = -4g 10 + -4g = 12 + 6g + -6g Combine like terms: 6g + -6g = 0 10 + -4g = 12 + 0 10 + -4g = 12 Add '-10' to each side of the equation. 10 + -10 + -4g = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -4g = 12 + -10 -4g = 12 + -10 Combine like terms: 12 + -10 = 2 -4g = 2 Divide each side by '-4'. g = -0.5 Simplifying g = -0.5
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