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Simplifying 6g + 4(-7 + 3g) = 1 + -1g 6g + (-7 * 4 + 3g * 4) = 1 + -1g 6g + (-28 + 12g) = 1 + -1g Reorder the terms: -28 + 6g + 12g = 1 + -1g Combine like terms: 6g + 12g = 18g -28 + 18g = 1 + -1g Solving -28 + 18g = 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 + 18g + g = 1 + -1g + g Combine like terms: 18g + g = 19g -28 + 19g = 1 + -1g + g Combine like terms: -1g + g = 0 -28 + 19g = 1 + 0 -28 + 19g = 1 Add '28' to each side of the equation. -28 + 28 + 19g = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 19g = 1 + 28 19g = 1 + 28 Combine like terms: 1 + 28 = 29 19g = 29 Divide each side by '19'. g = 1.526315789 Simplifying g = 1.526315789
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