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Simplifying 3(4g + 6) = -4(-6g + -3) Reorder the terms: 3(6 + 4g) = -4(-6g + -3) (6 * 3 + 4g * 3) = -4(-6g + -3) (18 + 12g) = -4(-6g + -3) Reorder the terms: 18 + 12g = -4(-3 + -6g) 18 + 12g = (-3 * -4 + -6g * -4) 18 + 12g = (12 + 24g) Solving 18 + 12g = 12 + 24g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24g' to each side of the equation. 18 + 12g + -24g = 12 + 24g + -24g Combine like terms: 12g + -24g = -12g 18 + -12g = 12 + 24g + -24g Combine like terms: 24g + -24g = 0 18 + -12g = 12 + 0 18 + -12g = 12 Add '-18' to each side of the equation. 18 + -18 + -12g = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -12g = 12 + -18 -12g = 12 + -18 Combine like terms: 12 + -18 = -6 -12g = -6 Divide each side by '-12'. g = 0.5 Simplifying g = 0.5
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