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Simplifying 4(g + -6) = 2(g + 4) Reorder the terms: 4(-6 + g) = 2(g + 4) (-6 * 4 + g * 4) = 2(g + 4) (-24 + 4g) = 2(g + 4) Reorder the terms: -24 + 4g = 2(4 + g) -24 + 4g = (4 * 2 + g * 2) -24 + 4g = (8 + 2g) Solving -24 + 4g = 8 + 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. -24 + 4g + -2g = 8 + 2g + -2g Combine like terms: 4g + -2g = 2g -24 + 2g = 8 + 2g + -2g Combine like terms: 2g + -2g = 0 -24 + 2g = 8 + 0 -24 + 2g = 8 Add '24' to each side of the equation. -24 + 24 + 2g = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 2g = 8 + 24 2g = 8 + 24 Combine like terms: 8 + 24 = 32 2g = 32 Divide each side by '2'. g = 16 Simplifying g = 16
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