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Simplifying -1g + 2(3 + g) = 4 + -1(g + 1) -1g + (3 * 2 + g * 2) = 4 + -1(g + 1) -1g + (6 + 2g) = 4 + -1(g + 1) Reorder the terms: 6 + -1g + 2g = 4 + -1(g + 1) Combine like terms: -1g + 2g = 1g 6 + 1g = 4 + -1(g + 1) Reorder the terms: 6 + 1g = 4 + -1(1 + g) 6 + 1g = 4 + (1 * -1 + g * -1) 6 + 1g = 4 + (-1 + -1g) Combine like terms: 4 + -1 = 3 6 + 1g = 3 + -1g Solving 6 + 1g = 3 + -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 + 1g + g = 3 + -1g + g Combine like terms: 1g + g = 2g 6 + 2g = 3 + -1g + g Combine like terms: -1g + g = 0 6 + 2g = 3 + 0 6 + 2g = 3 Add '-6' to each side of the equation. 6 + -6 + 2g = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 2g = 3 + -6 2g = 3 + -6 Combine like terms: 3 + -6 = -3 2g = -3 Divide each side by '2'. g = -1.5 Simplifying g = -1.5
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