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Simplifying 5g + 3(-3 + 3g) = 1 + -1g 5g + (-3 * 3 + 3g * 3) = 1 + -1g 5g + (-9 + 9g) = 1 + -1g Reorder the terms: -9 + 5g + 9g = 1 + -1g Combine like terms: 5g + 9g = 14g -9 + 14g = 1 + -1g Solving -9 + 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. -9 + 14g + g = 1 + -1g + g Combine like terms: 14g + g = 15g -9 + 15g = 1 + -1g + g Combine like terms: -1g + g = 0 -9 + 15g = 1 + 0 -9 + 15g = 1 Add '9' to each side of the equation. -9 + 9 + 15g = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 15g = 1 + 9 15g = 1 + 9 Combine like terms: 1 + 9 = 10 15g = 10 Divide each side by '15'. g = 0.6666666667 Simplifying g = 0.6666666667
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