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Simplifying 12(4g + -2) = -1(3g + 4) Reorder the terms: 12(-2 + 4g) = -1(3g + 4) (-2 * 12 + 4g * 12) = -1(3g + 4) (-24 + 48g) = -1(3g + 4) Reorder the terms: -24 + 48g = -1(4 + 3g) -24 + 48g = (4 * -1 + 3g * -1) -24 + 48g = (-4 + -3g) Solving -24 + 48g = -4 + -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. -24 + 48g + 3g = -4 + -3g + 3g Combine like terms: 48g + 3g = 51g -24 + 51g = -4 + -3g + 3g Combine like terms: -3g + 3g = 0 -24 + 51g = -4 + 0 -24 + 51g = -4 Add '24' to each side of the equation. -24 + 24 + 51g = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 51g = -4 + 24 51g = -4 + 24 Combine like terms: -4 + 24 = 20 51g = 20 Divide each side by '51'. g = 0.3921568627 Simplifying g = 0.3921568627
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