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Simplifying 2g + 2(-5 + 4g) = 1 + -1g 2g + (-5 * 2 + 4g * 2) = 1 + -1g 2g + (-10 + 8g) = 1 + -1g Reorder the terms: -10 + 2g + 8g = 1 + -1g Combine like terms: 2g + 8g = 10g -10 + 10g = 1 + -1g Solving -10 + 10g = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -10 + 10g + g = 1 + -1g + g Combine like terms: 10g + g = 11g -10 + 11g = 1 + -1g + g Combine like terms: -1g + g = 0 -10 + 11g = 1 + 0 -10 + 11g = 1 Add '10' to each side of the equation. -10 + 10 + 11g = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 11g = 1 + 10 11g = 1 + 10 Combine like terms: 1 + 10 = 11 11g = 11 Divide each side by '11'. g = 1 Simplifying g = 1
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