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Simplifying 3(4g + -6) = 6(g + 2) Reorder the terms: 3(-6 + 4g) = 6(g + 2) (-6 * 3 + 4g * 3) = 6(g + 2) (-18 + 12g) = 6(g + 2) Reorder the terms: -18 + 12g = 6(2 + g) -18 + 12g = (2 * 6 + g * 6) -18 + 12g = (12 + 6g) Solving -18 + 12g = 12 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -18 + 12g + -6g = 12 + 6g + -6g Combine like terms: 12g + -6g = 6g -18 + 6g = 12 + 6g + -6g Combine like terms: 6g + -6g = 0 -18 + 6g = 12 + 0 -18 + 6g = 12 Add '18' to each side of the equation. -18 + 18 + 6g = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6g = 12 + 18 6g = 12 + 18 Combine like terms: 12 + 18 = 30 6g = 30 Divide each side by '6'. g = 5 Simplifying g = 5
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