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Simplifying 4(12g + -6) = 6(-8 + 5g) + 16g Reorder the terms: 4(-6 + 12g) = 6(-8 + 5g) + 16g (-6 * 4 + 12g * 4) = 6(-8 + 5g) + 16g (-24 + 48g) = 6(-8 + 5g) + 16g -24 + 48g = (-8 * 6 + 5g * 6) + 16g -24 + 48g = (-48 + 30g) + 16g Combine like terms: 30g + 16g = 46g -24 + 48g = -48 + 46g Solving -24 + 48g = -48 + 46g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-46g' to each side of the equation. -24 + 48g + -46g = -48 + 46g + -46g Combine like terms: 48g + -46g = 2g -24 + 2g = -48 + 46g + -46g Combine like terms: 46g + -46g = 0 -24 + 2g = -48 + 0 -24 + 2g = -48 Add '24' to each side of the equation. -24 + 24 + 2g = -48 + 24 Combine like terms: -24 + 24 = 0 0 + 2g = -48 + 24 2g = -48 + 24 Combine like terms: -48 + 24 = -24 2g = -24 Divide each side by '2'. g = -12 Simplifying g = -12
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