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Simplifying 2g + 4(-7 + 2g) = 1 + -1g 2g + (-7 * 4 + 2g * 4) = 1 + -1g 2g + (-28 + 8g) = 1 + -1g Reorder the terms: -28 + 2g + 8g = 1 + -1g Combine like terms: 2g + 8g = 10g -28 + 10g = 1 + -1g Solving -28 + 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. -28 + 10g + g = 1 + -1g + g Combine like terms: 10g + g = 11g -28 + 11g = 1 + -1g + g Combine like terms: -1g + g = 0 -28 + 11g = 1 + 0 -28 + 11g = 1 Add '28' to each side of the equation. -28 + 28 + 11g = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 11g = 1 + 28 11g = 1 + 28 Combine like terms: 1 + 28 = 29 11g = 29 Divide each side by '11'. g = 2.636363636 Simplifying g = 2.636363636
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