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Simplifying 2(3 + g) = -4(g + 3) (3 * 2 + g * 2) = -4(g + 3) (6 + 2g) = -4(g + 3) Reorder the terms: 6 + 2g = -4(3 + g) 6 + 2g = (3 * -4 + g * -4) 6 + 2g = (-12 + -4g) Solving 6 + 2g = -12 + -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. 6 + 2g + 4g = -12 + -4g + 4g Combine like terms: 2g + 4g = 6g 6 + 6g = -12 + -4g + 4g Combine like terms: -4g + 4g = 0 6 + 6g = -12 + 0 6 + 6g = -12 Add '-6' to each side of the equation. 6 + -6 + 6g = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 6g = -12 + -6 6g = -12 + -6 Combine like terms: -12 + -6 = -18 6g = -18 Divide each side by '6'. g = -3 Simplifying g = -3
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