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Simplifying 2(5g + -5) = 3(5g + -10) Reorder the terms: 2(-5 + 5g) = 3(5g + -10) (-5 * 2 + 5g * 2) = 3(5g + -10) (-10 + 10g) = 3(5g + -10) Reorder the terms: -10 + 10g = 3(-10 + 5g) -10 + 10g = (-10 * 3 + 5g * 3) -10 + 10g = (-30 + 15g) Solving -10 + 10g = -30 + 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. -10 + 10g + -15g = -30 + 15g + -15g Combine like terms: 10g + -15g = -5g -10 + -5g = -30 + 15g + -15g Combine like terms: 15g + -15g = 0 -10 + -5g = -30 + 0 -10 + -5g = -30 Add '10' to each side of the equation. -10 + 10 + -5g = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -5g = -30 + 10 -5g = -30 + 10 Combine like terms: -30 + 10 = -20 -5g = -20 Divide each side by '-5'. g = 4 Simplifying g = 4
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