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Simplifying 4(g + 3) + -2(g + -1) = 8 Reorder the terms: 4(3 + g) + -2(g + -1) = 8 (3 * 4 + g * 4) + -2(g + -1) = 8 (12 + 4g) + -2(g + -1) = 8 Reorder the terms: 12 + 4g + -2(-1 + g) = 8 12 + 4g + (-1 * -2 + g * -2) = 8 12 + 4g + (2 + -2g) = 8 Reorder the terms: 12 + 2 + 4g + -2g = 8 Combine like terms: 12 + 2 = 14 14 + 4g + -2g = 8 Combine like terms: 4g + -2g = 2g 14 + 2g = 8 Solving 14 + 2g = 8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2g = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 2g = 8 + -14 2g = 8 + -14 Combine like terms: 8 + -14 = -6 2g = -6 Divide each side by '2'. g = -3 Simplifying g = -3
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