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Simplifying 4(g + 5) = 5(g + -3) Reorder the terms: 4(5 + g) = 5(g + -3) (5 * 4 + g * 4) = 5(g + -3) (20 + 4g) = 5(g + -3) Reorder the terms: 20 + 4g = 5(-3 + g) 20 + 4g = (-3 * 5 + g * 5) 20 + 4g = (-15 + 5g) Solving 20 + 4g = -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. 20 + 4g + -5g = -15 + 5g + -5g Combine like terms: 4g + -5g = -1g 20 + -1g = -15 + 5g + -5g Combine like terms: 5g + -5g = 0 20 + -1g = -15 + 0 20 + -1g = -15 Add '-20' to each side of the equation. 20 + -20 + -1g = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -1g = -15 + -20 -1g = -15 + -20 Combine like terms: -15 + -20 = -35 -1g = -35 Divide each side by '-1'. g = 35 Simplifying g = 35
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