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Simplifying 2g + 3 = 23 + -1(2g + -6) Reorder the terms: 3 + 2g = 23 + -1(2g + -6) Reorder the terms: 3 + 2g = 23 + -1(-6 + 2g) 3 + 2g = 23 + (-6 * -1 + 2g * -1) 3 + 2g = 23 + (6 + -2g) Combine like terms: 23 + 6 = 29 3 + 2g = 29 + -2g Solving 3 + 2g = 29 + -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. 3 + 2g + 2g = 29 + -2g + 2g Combine like terms: 2g + 2g = 4g 3 + 4g = 29 + -2g + 2g Combine like terms: -2g + 2g = 0 3 + 4g = 29 + 0 3 + 4g = 29 Add '-3' to each side of the equation. 3 + -3 + 4g = 29 + -3 Combine like terms: 3 + -3 = 0 0 + 4g = 29 + -3 4g = 29 + -3 Combine like terms: 29 + -3 = 26 4g = 26 Divide each side by '4'. g = 6.5 Simplifying g = 6.5
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