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Simplifying 3(g + 2) + -1 = 7 + -1(g + 4) + -5g Reorder the terms: 3(2 + g) + -1 = 7 + -1(g + 4) + -5g (2 * 3 + g * 3) + -1 = 7 + -1(g + 4) + -5g (6 + 3g) + -1 = 7 + -1(g + 4) + -5g Reorder the terms: 6 + -1 + 3g = 7 + -1(g + 4) + -5g Combine like terms: 6 + -1 = 5 5 + 3g = 7 + -1(g + 4) + -5g Reorder the terms: 5 + 3g = 7 + -1(4 + g) + -5g 5 + 3g = 7 + (4 * -1 + g * -1) + -5g 5 + 3g = 7 + (-4 + -1g) + -5g Combine like terms: 7 + -4 = 3 5 + 3g = 3 + -1g + -5g Combine like terms: -1g + -5g = -6g 5 + 3g = 3 + -6g Solving 5 + 3g = 3 + -6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6g' to each side of the equation. 5 + 3g + 6g = 3 + -6g + 6g Combine like terms: 3g + 6g = 9g 5 + 9g = 3 + -6g + 6g Combine like terms: -6g + 6g = 0 5 + 9g = 3 + 0 5 + 9g = 3 Add '-5' to each side of the equation. 5 + -5 + 9g = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 9g = 3 + -5 9g = 3 + -5 Combine like terms: 3 + -5 = -2 9g = -2 Divide each side by '9'. g = -0.2222222222 Simplifying g = -0.2222222222
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