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Simplifying 2(g + 3) = 4(g + -2) Reorder the terms: 2(3 + g) = 4(g + -2) (3 * 2 + g * 2) = 4(g + -2) (6 + 2g) = 4(g + -2) Reorder the terms: 6 + 2g = 4(-2 + g) 6 + 2g = (-2 * 4 + g * 4) 6 + 2g = (-8 + 4g) Solving 6 + 2g = -8 + 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 = -8 + 4g + -4g Combine like terms: 2g + -4g = -2g 6 + -2g = -8 + 4g + -4g Combine like terms: 4g + -4g = 0 6 + -2g = -8 + 0 6 + -2g = -8 Add '-6' to each side of the equation. 6 + -6 + -2g = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2g = -8 + -6 -2g = -8 + -6 Combine like terms: -8 + -6 = -14 -2g = -14 Divide each side by '-2'. g = 7 Simplifying g = 7
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