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Simplifying 7(g + 7) = 5g + 59 Reorder the terms: 7(7 + g) = 5g + 59 (7 * 7 + g * 7) = 5g + 59 (49 + 7g) = 5g + 59 Reorder the terms: 49 + 7g = 59 + 5g Solving 49 + 7g = 59 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. 49 + 7g + -5g = 59 + 5g + -5g Combine like terms: 7g + -5g = 2g 49 + 2g = 59 + 5g + -5g Combine like terms: 5g + -5g = 0 49 + 2g = 59 + 0 49 + 2g = 59 Add '-49' to each side of the equation. 49 + -49 + 2g = 59 + -49 Combine like terms: 49 + -49 = 0 0 + 2g = 59 + -49 2g = 59 + -49 Combine like terms: 59 + -49 = 10 2g = 10 Divide each side by '2'. g = 5 Simplifying g = 5
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