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Simplifying 0 = 3g + 3(2 + -1g) + 4(g + 1) 0 = 3g + (2 * 3 + -1g * 3) + 4(g + 1) 0 = 3g + (6 + -3g) + 4(g + 1) Reorder the terms: 0 = 3g + 6 + -3g + 4(1 + g) 0 = 3g + 6 + -3g + (1 * 4 + g * 4) 0 = 3g + 6 + -3g + (4 + 4g) Reorder the terms: 0 = 6 + 4 + 3g + -3g + 4g Combine like terms: 6 + 4 = 10 0 = 10 + 3g + -3g + 4g Combine like terms: 3g + -3g = 0 0 = 10 + 0 + 4g 0 = 10 + 4g Solving 0 = 10 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. 0 + -4g = 10 + 4g + -4g Remove the zero: -4g = 10 + 4g + -4g Combine like terms: 4g + -4g = 0 -4g = 10 + 0 -4g = 10 Divide each side by '-4'. g = -2.5 Simplifying g = -2.5
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