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Simplifying 4[2g + -3] = 5[g + -2] Reorder the terms: 4[-3 + 2g] = 5[g + -2] [-3 * 4 + 2g * 4] = 5[g + -2] [-12 + 8g] = 5[g + -2] Reorder the terms: -12 + 8g = 5[-2 + g] -12 + 8g = [-2 * 5 + g * 5] -12 + 8g = [-10 + 5g] Solving -12 + 8g = -10 + 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. -12 + 8g + -5g = -10 + 5g + -5g Combine like terms: 8g + -5g = 3g -12 + 3g = -10 + 5g + -5g Combine like terms: 5g + -5g = 0 -12 + 3g = -10 + 0 -12 + 3g = -10 Add '12' to each side of the equation. -12 + 12 + 3g = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 3g = -10 + 12 3g = -10 + 12 Combine like terms: -10 + 12 = 2 3g = 2 Divide each side by '3'. g = 0.6666666667 Simplifying g = 0.6666666667
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