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Simplifying 3(2g + -8) = 2(g + 16) Reorder the terms: 3(-8 + 2g) = 2(g + 16) (-8 * 3 + 2g * 3) = 2(g + 16) (-24 + 6g) = 2(g + 16) Reorder the terms: -24 + 6g = 2(16 + g) -24 + 6g = (16 * 2 + g * 2) -24 + 6g = (32 + 2g) Solving -24 + 6g = 32 + 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 + 6g + -2g = 32 + 2g + -2g Combine like terms: 6g + -2g = 4g -24 + 4g = 32 + 2g + -2g Combine like terms: 2g + -2g = 0 -24 + 4g = 32 + 0 -24 + 4g = 32 Add '24' to each side of the equation. -24 + 24 + 4g = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 4g = 32 + 24 4g = 32 + 24 Combine like terms: 32 + 24 = 56 4g = 56 Divide each side by '4'. g = 14 Simplifying g = 14
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