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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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