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