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Simplifying 3(4g + 1) + g = 8 + -1(3g + 2) Reorder the terms: 3(1 + 4g) + g = 8 + -1(3g + 2) (1 * 3 + 4g * 3) + g = 8 + -1(3g + 2) (3 + 12g) + g = 8 + -1(3g + 2) Combine like terms: 12g + g = 13g 3 + 13g = 8 + -1(3g + 2) Reorder the terms: 3 + 13g = 8 + -1(2 + 3g) 3 + 13g = 8 + (2 * -1 + 3g * -1) 3 + 13g = 8 + (-2 + -3g) Combine like terms: 8 + -2 = 6 3 + 13g = 6 + -3g Solving 3 + 13g = 6 + -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. 3 + 13g + 3g = 6 + -3g + 3g Combine like terms: 13g + 3g = 16g 3 + 16g = 6 + -3g + 3g Combine like terms: -3g + 3g = 0 3 + 16g = 6 + 0 3 + 16g = 6 Add '-3' to each side of the equation. 3 + -3 + 16g = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 16g = 6 + -3 16g = 6 + -3 Combine like terms: 6 + -3 = 3 16g = 3 Divide each side by '16'. g = 0.1875 Simplifying g = 0.1875
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