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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 = 14 10 + 5g = 14 + 3g Solving 10 + 5g = 14 + 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 = 14 + 3g + -3g Combine like terms: 5g + -3g = 2g 10 + 2g = 14 + 3g + -3g Combine like terms: 3g + -3g = 0 10 + 2g = 14 + 0 10 + 2g = 14 Add '-10' to each side of the equation. 10 + -10 + 2g = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 2g = 14 + -10 2g = 14 + -10 Combine like terms: 14 + -10 = 4 2g = 4 Divide each side by '2'. g = 2 Simplifying g = 2
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