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Simplifying 2(3g + 4) = 5(g + 3) Reorder the terms: 2(4 + 3g) = 5(g + 3) (4 * 2 + 3g * 2) = 5(g + 3) (8 + 6g) = 5(g + 3) Reorder the terms: 8 + 6g = 5(3 + g) 8 + 6g = (3 * 5 + g * 5) 8 + 6g = (15 + 5g) Solving 8 + 6g = 15 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. 8 + 6g + -5g = 15 + 5g + -5g Combine like terms: 6g + -5g = 1g 8 + 1g = 15 + 5g + -5g Combine like terms: 5g + -5g = 0 8 + 1g = 15 + 0 8 + 1g = 15 Add '-8' to each side of the equation. 8 + -8 + 1g = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1g = 15 + -8 1g = 15 + -8 Combine like terms: 15 + -8 = 7 1g = 7 Divide each side by '1'. g = 7 Simplifying g = 7
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