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Simplifying 6g + 2(g + -3) + -4(g + -5) = 0 Reorder the terms: 6g + 2(-3 + g) + -4(g + -5) = 0 6g + (-3 * 2 + g * 2) + -4(g + -5) = 0 6g + (-6 + 2g) + -4(g + -5) = 0 Reorder the terms: 6g + -6 + 2g + -4(-5 + g) = 0 6g + -6 + 2g + (-5 * -4 + g * -4) = 0 6g + -6 + 2g + (20 + -4g) = 0 Reorder the terms: -6 + 20 + 6g + 2g + -4g = 0 Combine like terms: -6 + 20 = 14 14 + 6g + 2g + -4g = 0 Combine like terms: 6g + 2g = 8g 14 + 8g + -4g = 0 Combine like terms: 8g + -4g = 4g 14 + 4g = 0 Solving 14 + 4g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4g = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4g = 0 + -14 4g = 0 + -14 Combine like terms: 0 + -14 = -14 4g = -14 Divide each side by '4'. g = -3.5 Simplifying g = -3.5
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