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Simplifying 3 + -1(4g + 1) + -1g = 8 + -1(3g + 2) Reorder the terms: 3 + -1(1 + 4g) + -1g = 8 + -1(3g + 2) 3 + (1 * -1 + 4g * -1) + -1g = 8 + -1(3g + 2) 3 + (-1 + -4g) + -1g = 8 + -1(3g + 2) Combine like terms: 3 + -1 = 2 2 + -4g + -1g = 8 + -1(3g + 2) Combine like terms: -4g + -1g = -5g 2 + -5g = 8 + -1(3g + 2) Reorder the terms: 2 + -5g = 8 + -1(2 + 3g) 2 + -5g = 8 + (2 * -1 + 3g * -1) 2 + -5g = 8 + (-2 + -3g) Combine like terms: 8 + -2 = 6 2 + -5g = 6 + -3g Solving 2 + -5g = 6 + -3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3g' to each side of the equation. 2 + -5g + 3g = 6 + -3g + 3g Combine like terms: -5g + 3g = -2g 2 + -2g = 6 + -3g + 3g Combine like terms: -3g + 3g = 0 2 + -2g = 6 + 0 2 + -2g = 6 Add '-2' to each side of the equation. 2 + -2 + -2g = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -2g = 6 + -2 -2g = 6 + -2 Combine like terms: 6 + -2 = 4 -2g = 4 Divide each side by '-2'. g = -2 Simplifying g = -2
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