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Simplifying 3g + 3(-6 + 3g) = 1 + -1g 3g + (-6 * 3 + 3g * 3) = 1 + -1g 3g + (-18 + 9g) = 1 + -1g Reorder the terms: -18 + 3g + 9g = 1 + -1g Combine like terms: 3g + 9g = 12g -18 + 12g = 1 + -1g Solving -18 + 12g = 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. -18 + 12g + g = 1 + -1g + g Combine like terms: 12g + g = 13g -18 + 13g = 1 + -1g + g Combine like terms: -1g + g = 0 -18 + 13g = 1 + 0 -18 + 13g = 1 Add '18' to each side of the equation. -18 + 18 + 13g = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 13g = 1 + 18 13g = 1 + 18 Combine like terms: 1 + 18 = 19 13g = 19 Divide each side by '13'. g = 1.461538462 Simplifying g = 1.461538462
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