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Simplifying 6(3g + 5) = 2(10g + 10) Reorder the terms: 6(5 + 3g) = 2(10g + 10) (5 * 6 + 3g * 6) = 2(10g + 10) (30 + 18g) = 2(10g + 10) Reorder the terms: 30 + 18g = 2(10 + 10g) 30 + 18g = (10 * 2 + 10g * 2) 30 + 18g = (20 + 20g) Solving 30 + 18g = 20 + 20g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20g' to each side of the equation. 30 + 18g + -20g = 20 + 20g + -20g Combine like terms: 18g + -20g = -2g 30 + -2g = 20 + 20g + -20g Combine like terms: 20g + -20g = 0 30 + -2g = 20 + 0 30 + -2g = 20 Add '-30' to each side of the equation. 30 + -30 + -2g = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -2g = 20 + -30 -2g = 20 + -30 Combine like terms: 20 + -30 = -10 -2g = -10 Divide each side by '-2'. g = 5 Simplifying g = 5
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