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Simplifying 3g + 2(-3 + 2g) = 1 + -1g 3g + (-3 * 2 + 2g * 2) = 1 + -1g 3g + (-6 + 4g) = 1 + -1g Reorder the terms: -6 + 3g + 4g = 1 + -1g Combine like terms: 3g + 4g = 7g -6 + 7g = 1 + -1g Solving -6 + 7g = 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. -6 + 7g + g = 1 + -1g + g Combine like terms: 7g + g = 8g -6 + 8g = 1 + -1g + g Combine like terms: -1g + g = 0 -6 + 8g = 1 + 0 -6 + 8g = 1 Add '6' to each side of the equation. -6 + 6 + 8g = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 8g = 1 + 6 8g = 1 + 6 Combine like terms: 1 + 6 = 7 8g = 7 Divide each side by '8'. g = 0.875 Simplifying g = 0.875
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