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Simplifying 10(g + 2) = 6(g + 4) Reorder the terms: 10(2 + g) = 6(g + 4) (2 * 10 + g * 10) = 6(g + 4) (20 + 10g) = 6(g + 4) Reorder the terms: 20 + 10g = 6(4 + g) 20 + 10g = (4 * 6 + g * 6) 20 + 10g = (24 + 6g) Solving 20 + 10g = 24 + 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. 20 + 10g + -6g = 24 + 6g + -6g Combine like terms: 10g + -6g = 4g 20 + 4g = 24 + 6g + -6g Combine like terms: 6g + -6g = 0 20 + 4g = 24 + 0 20 + 4g = 24 Add '-20' to each side of the equation. 20 + -20 + 4g = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 4g = 24 + -20 4g = 24 + -20 Combine like terms: 24 + -20 = 4 4g = 4 Divide each side by '4'. g = 1 Simplifying g = 1
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