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Simplifying 5(2g + 1) = -3(g + -5) Reorder the terms: 5(1 + 2g) = -3(g + -5) (1 * 5 + 2g * 5) = -3(g + -5) (5 + 10g) = -3(g + -5) Reorder the terms: 5 + 10g = -3(-5 + g) 5 + 10g = (-5 * -3 + g * -3) 5 + 10g = (15 + -3g) Solving 5 + 10g = 15 + -3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3g' to each side of the equation. 5 + 10g + 3g = 15 + -3g + 3g Combine like terms: 10g + 3g = 13g 5 + 13g = 15 + -3g + 3g Combine like terms: -3g + 3g = 0 5 + 13g = 15 + 0 5 + 13g = 15 Add '-5' to each side of the equation. 5 + -5 + 13g = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 13g = 15 + -5 13g = 15 + -5 Combine like terms: 15 + -5 = 10 13g = 10 Divide each side by '13'. g = 0.7692307692 Simplifying g = 0.7692307692
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