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Simplifying 2(g + 4) + 4(g + 6) = 3(g + 16) + 2 Reorder the terms: 2(4 + g) + 4(g + 6) = 3(g + 16) + 2 (4 * 2 + g * 2) + 4(g + 6) = 3(g + 16) + 2 (8 + 2g) + 4(g + 6) = 3(g + 16) + 2 Reorder the terms: 8 + 2g + 4(6 + g) = 3(g + 16) + 2 8 + 2g + (6 * 4 + g * 4) = 3(g + 16) + 2 8 + 2g + (24 + 4g) = 3(g + 16) + 2 Reorder the terms: 8 + 24 + 2g + 4g = 3(g + 16) + 2 Combine like terms: 8 + 24 = 32 32 + 2g + 4g = 3(g + 16) + 2 Combine like terms: 2g + 4g = 6g 32 + 6g = 3(g + 16) + 2 Reorder the terms: 32 + 6g = 3(16 + g) + 2 32 + 6g = (16 * 3 + g * 3) + 2 32 + 6g = (48 + 3g) + 2 Reorder the terms: 32 + 6g = 48 + 2 + 3g Combine like terms: 48 + 2 = 50 32 + 6g = 50 + 3g Solving 32 + 6g = 50 + 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. 32 + 6g + -3g = 50 + 3g + -3g Combine like terms: 6g + -3g = 3g 32 + 3g = 50 + 3g + -3g Combine like terms: 3g + -3g = 0 32 + 3g = 50 + 0 32 + 3g = 50 Add '-32' to each side of the equation. 32 + -32 + 3g = 50 + -32 Combine like terms: 32 + -32 = 0 0 + 3g = 50 + -32 3g = 50 + -32 Combine like terms: 50 + -32 = 18 3g = 18 Divide each side by '3'. g = 6 Simplifying g = 6
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