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Simplifying -7(g + -1) + 2 = -23 + g Reorder the terms: -7(-1 + g) + 2 = -23 + g (-1 * -7 + g * -7) + 2 = -23 + g (7 + -7g) + 2 = -23 + g Reorder the terms: 7 + 2 + -7g = -23 + g Combine like terms: 7 + 2 = 9 9 + -7g = -23 + g Solving 9 + -7g = -23 + g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g' to each side of the equation. 9 + -7g + -1g = -23 + g + -1g Combine like terms: -7g + -1g = -8g 9 + -8g = -23 + g + -1g Combine like terms: g + -1g = 0 9 + -8g = -23 + 0 9 + -8g = -23 Add '-9' to each side of the equation. 9 + -9 + -8g = -23 + -9 Combine like terms: 9 + -9 = 0 0 + -8g = -23 + -9 -8g = -23 + -9 Combine like terms: -23 + -9 = -32 -8g = -32 Divide each side by '-8'. g = 4 Simplifying g = 4
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