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Simplifying 16g + -1[3g + -1(6 + -9g)] = 30g + [-1(3g + 2) + -1(g + 3)] 16g + -1[3g + (6 * -1 + -9g * -1)] = 30g + [-1(3g + 2) + -1(g + 3)] 16g + -1[3g + (-6 + 9g)] = 30g + [-1(3g + 2) + -1(g + 3)] Reorder the terms: 16g + -1[-6 + 3g + 9g] = 30g + [-1(3g + 2) + -1(g + 3)] Combine like terms: 3g + 9g = 12g 16g + -1[-6 + 12g] = 30g + [-1(3g + 2) + -1(g + 3)] 16g + [-6 * -1 + 12g * -1] = 30g + [-1(3g + 2) + -1(g + 3)] 16g + [6 + -12g] = 30g + [-1(3g + 2) + -1(g + 3)] Reorder the terms: 6 + 16g + -12g = 30g + [-1(3g + 2) + -1(g + 3)] Combine like terms: 16g + -12g = 4g 6 + 4g = 30g + [-1(3g + 2) + -1(g + 3)] Reorder the terms: 6 + 4g = 30g + [-1(2 + 3g) + -1(g + 3)] 6 + 4g = 30g + [(2 * -1 + 3g * -1) + -1(g + 3)] 6 + 4g = 30g + [(-2 + -3g) + -1(g + 3)] Reorder the terms: 6 + 4g = 30g + [-2 + -3g + -1(3 + g)] 6 + 4g = 30g + [-2 + -3g + (3 * -1 + g * -1)] 6 + 4g = 30g + [-2 + -3g + (-3 + -1g)] Reorder the terms: 6 + 4g = 30g + [-2 + -3 + -3g + -1g] Combine like terms: -2 + -3 = -5 6 + 4g = 30g + [-5 + -3g + -1g] Combine like terms: -3g + -1g = -4g 6 + 4g = 30g + [-5 + -4g] Remove brackets around [-5 + -4g] 6 + 4g = 30g + -5 + -4g Reorder the terms: 6 + 4g = -5 + 30g + -4g Combine like terms: 30g + -4g = 26g 6 + 4g = -5 + 26g Solving 6 + 4g = -5 + 26g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-26g' to each side of the equation. 6 + 4g + -26g = -5 + 26g + -26g Combine like terms: 4g + -26g = -22g 6 + -22g = -5 + 26g + -26g Combine like terms: 26g + -26g = 0 6 + -22g = -5 + 0 6 + -22g = -5 Add '-6' to each side of the equation. 6 + -6 + -22g = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -22g = -5 + -6 -22g = -5 + -6 Combine like terms: -5 + -6 = -11 -22g = -11 Divide each side by '-22'. g = 0.5 Simplifying g = 0.5
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