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Simplifying 4g + 12 = 6(g + -3) + 8 Reorder the terms: 12 + 4g = 6(g + -3) + 8 Reorder the terms: 12 + 4g = 6(-3 + g) + 8 12 + 4g = (-3 * 6 + g * 6) + 8 12 + 4g = (-18 + 6g) + 8 Reorder the terms: 12 + 4g = -18 + 8 + 6g Combine like terms: -18 + 8 = -10 12 + 4g = -10 + 6g Solving 12 + 4g = -10 + 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. 12 + 4g + -6g = -10 + 6g + -6g Combine like terms: 4g + -6g = -2g 12 + -2g = -10 + 6g + -6g Combine like terms: 6g + -6g = 0 12 + -2g = -10 + 0 12 + -2g = -10 Add '-12' to each side of the equation. 12 + -12 + -2g = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -2g = -10 + -12 -2g = -10 + -12 Combine like terms: -10 + -12 = -22 -2g = -22 Divide each side by '-2'. g = 11 Simplifying g = 11
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