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