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Simplifying 10g + -2(3g + -6) = 4(3g + -6) + -8g Reorder the terms: 10g + -2(-6 + 3g) = 4(3g + -6) + -8g 10g + (-6 * -2 + 3g * -2) = 4(3g + -6) + -8g 10g + (12 + -6g) = 4(3g + -6) + -8g Reorder the terms: 12 + 10g + -6g = 4(3g + -6) + -8g Combine like terms: 10g + -6g = 4g 12 + 4g = 4(3g + -6) + -8g Reorder the terms: 12 + 4g = 4(-6 + 3g) + -8g 12 + 4g = (-6 * 4 + 3g * 4) + -8g 12 + 4g = (-24 + 12g) + -8g Combine like terms: 12g + -8g = 4g 12 + 4g = -24 + 4g Add '-4g' to each side of the equation. 12 + 4g + -4g = -24 + 4g + -4g Combine like terms: 4g + -4g = 0 12 + 0 = -24 + 4g + -4g 12 = -24 + 4g + -4g Combine like terms: 4g + -4g = 0 12 = -24 + 0 12 = -24 Solving 12 = -24 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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