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Simplifying 2g + -8.5 = 6g + -12g + -0.5 Reorder the terms: -8.5 + 2g = 6g + -12g + -0.5 Reorder the terms: -8.5 + 2g = -0.5 + 6g + -12g Combine like terms: 6g + -12g = -6g -8.5 + 2g = -0.5 + -6g Solving -8.5 + 2g = -0.5 + -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. -8.5 + 2g + 6g = -0.5 + -6g + 6g Combine like terms: 2g + 6g = 8g -8.5 + 8g = -0.5 + -6g + 6g Combine like terms: -6g + 6g = 0 -8.5 + 8g = -0.5 + 0 -8.5 + 8g = -0.5 Add '8.5' to each side of the equation. -8.5 + 8.5 + 8g = -0.5 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + 8g = -0.5 + 8.5 8g = -0.5 + 8.5 Combine like terms: -0.5 + 8.5 = 8 8g = 8 Divide each side by '8'. g = 1 Simplifying g = 1
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