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Simplifying 5 + 3(g + 4) = 2(g + 1) Reorder the terms: 5 + 3(4 + g) = 2(g + 1) 5 + (4 * 3 + g * 3) = 2(g + 1) 5 + (12 + 3g) = 2(g + 1) Combine like terms: 5 + 12 = 17 17 + 3g = 2(g + 1) Reorder the terms: 17 + 3g = 2(1 + g) 17 + 3g = (1 * 2 + g * 2) 17 + 3g = (2 + 2g) Solving 17 + 3g = 2 + 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. 17 + 3g + -2g = 2 + 2g + -2g Combine like terms: 3g + -2g = 1g 17 + 1g = 2 + 2g + -2g Combine like terms: 2g + -2g = 0 17 + 1g = 2 + 0 17 + 1g = 2 Add '-17' to each side of the equation. 17 + -17 + 1g = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 1g = 2 + -17 1g = 2 + -17 Combine like terms: 2 + -17 = -15 1g = -15 Divide each side by '1'. g = -15 Simplifying g = -15
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