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To solve for \( g \), we start with the equation: \[ 9 + 3.5g = 11 - 0.5g \] First, let's get all terms involving \( g \) on one side and constant terms on the other side. We can add \( 0.5g \) to both sides: \[ 9 + 3.5g + 0.5g = 11 \] This simplifies to: \[ 9 + 4g = 11 \] Next, we'll subtract 9 from both sides: \[ 4g = 11 - 9 \] This gives us: \[ 4g = 2 \] Now we can solve for \( g \) by dividing both sides by 4: \[ g = \frac{2}{4} \] Simplifying this, we find: \[ g = \frac{1}{2} \] So the final answer is: \[ g = 0.5 \]