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Simplifying 6g + 4(-7 + 2g) = 1 + -1g 6g + (-7 * 4 + 2g * 4) = 1 + -1g 6g + (-28 + 8g) = 1 + -1g Reorder the terms: -28 + 6g + 8g = 1 + -1g Combine like terms: 6g + 8g = 14g -28 + 14g = 1 + -1g Solving -28 + 14g = 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 + 14g + g = 1 + -1g + g Combine like terms: 14g + g = 15g -28 + 15g = 1 + -1g + g Combine like terms: -1g + g = 0 -28 + 15g = 1 + 0 -28 + 15g = 1 Add '28' to each side of the equation. -28 + 28 + 15g = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 15g = 1 + 28 15g = 1 + 28 Combine like terms: 1 + 28 = 29 15g = 29 Divide each side by '15'. g = 1.933333333 Simplifying g = 1.933333333
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