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Simplifying 5(g + 2) = 29 + 3(g + 5) Reorder the terms: 5(2 + g) = 29 + 3(g + 5) (2 * 5 + g * 5) = 29 + 3(g + 5) (10 + 5g) = 29 + 3(g + 5) Reorder the terms: 10 + 5g = 29 + 3(5 + g) 10 + 5g = 29 + (5 * 3 + g * 3) 10 + 5g = 29 + (15 + 3g) Combine like terms: 29 + 15 = 44 10 + 5g = 44 + 3g Solving 10 + 5g = 44 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. 10 + 5g + -3g = 44 + 3g + -3g Combine like terms: 5g + -3g = 2g 10 + 2g = 44 + 3g + -3g Combine like terms: 3g + -3g = 0 10 + 2g = 44 + 0 10 + 2g = 44 Add '-10' to each side of the equation. 10 + -10 + 2g = 44 + -10 Combine like terms: 10 + -10 = 0 0 + 2g = 44 + -10 2g = 44 + -10 Combine like terms: 44 + -10 = 34 2g = 34 Divide each side by '2'. g = 17 Simplifying g = 17
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