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Simplifying 4(g + -2) = 2(g + 8) Reorder the terms: 4(-2 + g) = 2(g + 8) (-2 * 4 + g * 4) = 2(g + 8) (-8 + 4g) = 2(g + 8) Reorder the terms: -8 + 4g = 2(8 + g) -8 + 4g = (8 * 2 + g * 2) -8 + 4g = (16 + 2g) Solving -8 + 4g = 16 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -8 + 4g + -2g = 16 + 2g + -2g Combine like terms: 4g + -2g = 2g -8 + 2g = 16 + 2g + -2g Combine like terms: 2g + -2g = 0 -8 + 2g = 16 + 0 -8 + 2g = 16 Add '8' to each side of the equation. -8 + 8 + 2g = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 2g = 16 + 8 2g = 16 + 8 Combine like terms: 16 + 8 = 24 2g = 24 Divide each side by '2'. g = 12 Simplifying g = 12
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